# Find the point on the line 4x+2y+5=0 which is closest to the point (-2,-1)

109,706 results

1. ### calculus

Ola, I'm not understanding this question, any assistance? Thank you very much. Find the distance of the line y = 2x + 6 from the circle x^2 + y^2 = 0.5 Find the point of the line that is closest to the circle. [Hint: a point on the line is closest to the circle if it is ...
2. ### Math

For the given point and line, find by projection the point on the line that is closest to the given point and use perp to find the distance from the point to the line. P (3,-5) line: x = (2,-4)+t(3,-4)
3. ### Calculus-Applied Optimization Problem:

Find the point on the line 6x + 3y-3 =0 which is closest to the point (3,1). Note: Your answer should be a point in the xy-plane, and as such will be of the form (x-coordinate,y-coordinate)
4. ### calculus help amigos

Find the point on the line 5x+5y+7=0 which is closest to the point (3,−4)
5. ### Calculus

Find the point on the line 6x + y = 9 that is closest to the point (-3,1). Solution: We need to minimize the function d =
6. ### Math

Find the point on the line 6x + y = 9 that is closest to the point (-3,1). Solution: We need to minimize the function d =
7. ### Calc

Find the point on the line –2x+2y–3=0 which is closest to the point (–4–4). Please provide solution. ( , ) Thanks guys!
8. ### Algebra

can anybody help me with this question please? Let L be the line passing through the point P=(5,Â âˆ’5,Â 3) with direction vector â†’d=[1,Â âˆ’3,Â âˆ’2]T. Find the shortest distance d from the point P0=(âˆ’4,Â âˆ’1,Â 4) to L, and the point ...
9. ### Pre-Calc

I am seeking help with this problem Please...Thank you! Find the point on the line y=x+3 in the xy-plane that is closest to the point (3, 2)

11. ### calculus

Find the point on the line 2x+4y+7=0 which is closest to the point (4,−3).
12. ### Math-Calculus

Find the point on the line -2x + 4y + 3 =0 which is closest to the point (-2,1). Note: I have been struggling on this for hours!
13. ### Calc

Find the point on the line 2 x + 7 y + 4 =0 which is closest to the point ( 0, 1 )
14. ### Calculus

Find the point on the line 3 x + y - 5 =0 which is closest to the point ( -3, -3 ).
15. ### Calculus

Find the point on the line -3 x + y - 4 =0 which is closest to the point ( -5, 0 ).
16. ### Calculus

Find the point on the line -3 x + y + 4 =0 which is closest to the point ( -5, 0 ).
17. ### Calculus

Find the point on the line 2x+7y-6=0 which is closest to the point (-5,5.
18. ### Math

Find the point on the line 1x+7y-4=0 which is closest to the point (-4,-6)
19. ### calc

Find the point on the line 2 x + 6 y + 2 = 0 which is closest to the point ( 2, 0 ).
20. ### Calculus

Find the point on the line 4x+3y-4=0 which is closest to the point (5,2)
21. ### Calculus

Find the point on the line -6 x + 5 y - 1 =0 which is closest to the point ( -4, 1 )
22. ### Calculus

Find the point on the line -4x+7y+3=0 which is closest to the point(-5,-5)
23. ### Calculus

Find the point on the line 6 x + 4 y - 1 =0 which is closest to the point ( 0, -1 ).
24. ### calculus

Find the point on the line –3x+4y–5=0 which is closest to the point (0–5)
25. ### calculus

Find the point on the line 4x+2y+5=0 which is closest to the point (-2,-1)
26. ### Math

Find the point on the line 7x+1y−2=0 which is closest to the point (−1,−3).
27. ### Caluclus

Find the point on the line 7x+1y−5=0 which is closest to the point (−2,−6).
28. ### math

Find the point on the line 7x+5y−8=0 which is closest to the point (−1,−1).
29. ### calculus

Find the point on the line 3 x + 2 y - 5 =0 which is closest to the point (4,5).
30. ### help!

find the POINT on the line 6x+7y-5=0 which is closest to the point (2,2)
31. ### algebra

A line with a slope of -2 passes through the point (1, 7). What is the closest point on the line above (1, 7) which has whole number coordinates?
32. ### rate of change / slopes

A line connecting (5, 6) to another point has an undefined slope. What is the closest point on this line with whole number coordinates below (5, 6)?
33. ### rate of change / slopes

A line connecting (5, 6) to another point has an undefined slope. What is the closest point on this line with whole number coordinates below (5, 6)?
34. ### Linear Algebra

Let L be the line with parametric equations x = 1−2t y = 3+3t z = −1−3t Find the shortest distance d from the point P0=(1, −4, −2) to L, and the point Q on L that is closest to P0. Use the square root symbol '√' where needed to give an exact value for your answer. ...
35. ### maths

A point P is uniformly chosen inside a regular hexagon of side length 3. For each side of the hexagon a line is drawn from P to the point on that side which is closest to P. The probability that the sum of the lengths of these segments is less than or equal to 9√3 can be...
36. ### Math 9th grade slopes

A line connecting (5, 6) to another point has an undefined slope. What is the closest point on this line with whole number coordinates below (5, 6)?
37. ### URGENT HELP QUICK math rate of change

A line with a slope of -2 passes through the point (1, 7). What is the closest point on the line above (1, 7) which has whole number coordinates?
38. ### Physics

3. A particle of mass 0.5 kg has velocity 2 m/s. It is moving at constant velocity along a line that passes 0.5 m away from the origin, as shown in the figure below. Rank the angular momentum of the particle when it is at the points A, B, and C from smallest to greatest. Point...
39. ### Optimization - Calculus

Find the point closest to the line sqroot(X+1) from the point (3,0). d = [(x - 3) + (y - 0)]^1/2 d = [(x - 3) + (y)]1/2 Do I now substitute in the equation y = sqroot(X+1) and solve?
40. ### Linear Algebra

Let L be the line with parametric equations x = 1−2t y = 3+3t z = −1−3t Find the shortest distance d from the point P0=(1, −4, −2) to L, and the point Q on L that is closest to P0. Use the square root symbol '√' where needed to give an exact value for your answer. ...
41. ### Calculus

Find the point on the line -5sx+y+3=0 which is the closest to the point (2, 5) (___,___)
42. ### Math

A line connecting (2, 1) to another point has a slope of 3. What is the closest point with whole number coordinates above (2, 1)?
43. ### calculus

optimization find the point on the graph of the function that is closest to the given point f(X)= square root of x point:(8,0)
44. ### calculus

find the point on the line 6x+7y-5=0 closest to (2,2)
45. ### Calc

Find the point on the line −4x+2y+4=0 which is closest to the point (1,−5).
46. ### Calculus

Find the point on the line 6x + y = 9 that is closest to the point (-3,1). Solution: We need to minimize the function d = sqrt((x − (−3))^2 + (y − 1)^2) = sqrt((x + 3)^2 + (y − 1) ^2 ) and, since the point (x, y) lies on the line 6x + y = 9, we can ...
47. ### Math

A line 'l' intersects line 'm' at point A at 45 degree angle. B and C are points on line m, where the distance from B to A is equal to the distance from A to C. How many points on line 'l' are equidistant from points B and C? How is it one point? And this one point on line 'l...
48. ### math

Let A = (0,0,0), B = (9,8,12), and C = (6,2,3). Find coordinates for the point on line AB that is closest to C.
49. ### MATH

Let A = (0,0,0), B = (9,8,12), and C = (6,2,3). Find coordinates for the point on line AB that is closest to C.
50. ### precalc!!!!!

find the point on the line y=2x-1 which is closest to the point (2,-1). I used distAnce formula and got D= (square root 5x^2 -4x +4) I did.... D=square root (2-x)^2 + (-1-(2x-1))^2 What do I do now?
51. ### Algebra

Given points A(1, 3, −2), P1(2, 0, −1) and P2(4, −2, −1) Find the point P on the line through P1 and P2 that is closest to A
52. ### calculus

Consider line segments which are tangent to a point on the right half (x>0) of the curve y = x^2 + 1 and connect the tangent point to the x-axis. If the tangent point is close to the y-axis, the line segment is long. If the tangent point is far from the y-axis, the line ...
53. ### math:quick help

Let Fn be the nth number in the Fibonacci Sequence. Consider the 3 points (F30,F31),(F32,F33),(F34,F35) in the Cartesian plane. You are allowed to repeatedly apply the following operation: Let P be any one of the three points in the plane and let Q,R be the other points. Draw ...
54. ### Calculus AB

Sorry but I've got a lot of problems that I don't understand. 1) Let f(x)= (3x-1)e^x. For which value of x is the slope of the tangent line to f positive? Negative? Zero? 2) Find an equation of the tangent line to the oven curve at the specified point. Sketch the curve and the...
55. ### Calculus - Damon

Find the line which passes through the point (0, 1/4) and is tangent to the curve y=x^3 at some point. So I found the derivative which is 3x^2. Let (a, a3) be the point of tangency. 3x^2 = (a3 - 1/4)/(a-0) I'm not sure how to solve for a. Yes, the point is (0,1/4) but it's not...
56. ### Linear Algebra

Let L be the line with parametric equations x = 2+3t y = 3−2t z = 2+t Find the shortest distance d from the point P0=(−5, 1, −4) to L, and the point Q on L that is closest to P0. Use the square root symbol '√' where needed to give an exact value for your answer. d = _ ...
57. ### Geometry

Given triangle ABC, AD bisects angle BAC,and AE=ED Prove AE/AC=BD/BC Because I cant draw it I will explain. Its a triangle, A is the point at the top, B is the point at the bottom left and C is the point at the bottom right.There is a line going right down the middle, which is...
58. ### Calculus

Find the point on the line 7x+5y−2=0 which is closest to the point (−6,−2).
59. ### Calculus

Find the point on the line 7x+5y−2=0 which is closest to the point (−6,−2).

Okay, so this one is going to be a bit difficult to answer as I cannot post my number line, so you may just have to visualize it, or draw it out on paper. If HI = GM at what coordinates could point M lie? Point H is at 8 on the number line and point I is at 14 on the number ...
61. ### calculus

1. Which of the following expressions is the definition of the derivative of f(x) = cos(x) at the point (2, cos(2))? 2. Find the derivative of f(x) = |x + 2| at the point (1, 3) 3. Find f '(x) for f(x) = -2x3 + 3x2 - x + 15. 4. Find all values of x on the graph of f(x) = -2x3...
62. ### Math

Okay heres the pic. There is a plane with points B,D, and E.those [oints are collinear in the plane. And also outside of the plane is points A, and C. and those points are collinear outside of the plane.thought Line AC intersect at point B of the line BDE.FOr line AC the C is ...
63. ### Geo Hons

Okay heres the pic. There is a plane with points B,D, and E.those [oints are collinear in the plane. And also outside of the plane is points A, and C. and those points are collinear outside of the plane.thought Line AC intersect at point B of the line BDE.FOr line AC the C is ...
64. ### math graphs

4. Which equation would you use to find out if the two lines in the graph are parallel? (1 point) LINE #1: point a: 1, 4 point b: -2, 1 LINE #2: point c: 3, 3 point d: -1, -1 a. 4 - 1/-2 - 1 = 3 - 1/3 - 1 b. 4 - 1/-2 - 1 = 3 - (-1)/3 - (-1) c. 4 - 1/1 - (-2) = 3 - (-1)/3 - (-1...
65. ### Pure Math Coordinate Geometry

The Point O Is(0,0) and Point B is(6,9).Point A lies on the line OB.The ratio of OA:AB=2:1.Find the coordinates of Point A. (Method Needed Mostly)thanks....
66. ### math

Find the point on the graph of the function closest to the given point. Function f(x) = xsquared Point (2, 1/2)
67. ### Math

In the diagram below of triangle ACD, E is a point on line AD and B is a point on line AC, such that line EB is parallel to line DC. If AE = 3, ED = 6, and DC = 15, find the length of line EB.
68. ### calculus

Find the point on the function y= 1/ x, x>0 that is closest to the point (2,2) and then state the minimum distance.
69. ### Math

Find the point (x,) on the graph of the curve y=√4x+13 that is the closest to the fixed point (5,0).
70. ### Calculus

Find the point on the graph of y=2x-4 that is closest to the point (1,3). (Optimization equation)
71. ### Calculus I

section is on Optimization: Find the point on the curve y = x^2 closest to the point (3, 4)
72. ### Calculus

find the point on the graph of the function that is closest to the given point: f(x)=(x+1)^2 (5,3)
73. ### Calculus

Find the point P on the graph of the function y=\sqrt{x} closest to the point (2,0)
74. ### Calculus

Find the point on the graph of y = x^2 + 1 that’s closest to the point 8, 1.5. Hint: Remember the distance formula.
75. ### calculus

Find the point on the plane z = 6x + 9y + 1 closest to the point P = (1, 0, 0). Hint: Minimize the square of the distance. (x, y, z) =
76. ### Geometry

Okay heres the pic. There is a plane with points B,D, and E.those [oints are collinear in the plane. And also outside of the plane is points A, and C. and those points are collinear outside of the plane.thought Line AC intersect at point B of the line BDE.FOr line AC the C is ...
77. ### math

i have more than one question so if u no any of the answers please tell me 1.) write the point-slope form of the equation of the line with slope -2 passing through the point ( -5, -9). 2.) write the point-slope form of an equation of the line through the points at ( -9, -9) ...
78. ### Pre cal

How do i find the point on a graph of y=(x^2-1)^(1/2) that is closest to the point (1,0)?
79. ### Calculus

Find the point on the graph of function that is closest to the point. f(x)=x^2 (2,1/2)
80. ### Math

Find the point on the graph of the function that is closest to the given point. Function Point f(x) = x^2 (16, 1/2) (x, y) = ( ) ?
81. ### calculus

To find the equation of a line, we need the slope of the line and a point on the line. Since we are requested to find the equation of the tangent line at the point (64, 8), we know that (64, 8) is a point on the line. So we just need to find its slope. The slope of a tangent ...
82. ### Calculus AB

Could someone please help me with these tangent line problems? 1) Find the equation of the line tangent to the given curve at the indicated point: 3y^3 + 2x^2 = 5 at a point in the first quadrant where y=1. 2) Show that there is no point on the graph of x^2 - 3xy + y^2 = 1 ...
83. ### Math

1)Let AB be the directed line segment beginning at point A(1 , 1) and ending at point B(-4 , 6). Find the point P on the line segment that partitions the line segment into the segments AP and PB at a ratio of 5:1. A)(-3 1/6,5 1/6) B)(1/6,1 5/6) <---- C)(-3 4/5,31) D)(-2 1/6...
84. ### calculus

My teacher told me to use the distance formula for this problem but I am not sure how to do it... find the point (s) on the graph of y^2=6x closest to the point (5,0)
85. ### Calculus

Find the point on the curve y=3-x^2 that is closest the point A(6,0).
86. ### calculus

find the point on the parabola (y=x^2) that is closest to the point (0.75,0)
87. ### Calculus

Find the point on the parabola y^2=2x that is closest to the point (2,4)
88. ### Calculus

Find the point on the parabola x+y^2=0 that is closest to the point (0,-3).
89. ### Calc

Find the point on the parabola x+y^2=0 that is closest to the point (0,-3).
90. ### Calculus

Find the point on the parabola y^2=x that is closest to the point (1,7?
91. ### Algebra

Find an equation of a line parallel to the given line and contains the given point. Write the equation in slope-intercept form. a. line 2x+3y=2 , point (0,0) b. line y+4=0, Point (-5,3)
92. ### Algebra

Find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope-intercept form. a. line 3x+y=5, point (-1,2) b. line y=3x+1, point (6,1)
93. ### math

A line with negative slope passes through the point P(5,2) and intersects the x-axis at the point A and the y-axis at the point B. a. Find the equation of the line for which the length of the segment AB is the smallest. b. Find the equation of the line for which sum of the ...
94. ### math

Write the number that makes the statement true. 1. 205.5 m = _____ mm (1 point) 205,500 0.2055 20.55 20,550 2. 199.2 km = _____ m (1 point) 199,200 19.92 19,920 0.1992 Use benchmarks to estimate the sum. 3. + (1 point) 2 1 0 Estimate the difference. 4. 6 – 4 (1 point) 2 3 1 ...
95. ### math

The line segment joining ( -3,-4) and (6,11) is to be divided in to three (3) equal parts. Find the coordinates of the point of the part closest to (-3,-4). Please help me..
96. ### HELP MATH ASAP

For questions 1–4, find the slope of the following graphs. 1. (1 point) 2 –2 – 2. (1 point) 1 –1 – 3. (1 point) 3 – 4. (1 point) 0 1 –1 undefined For questions 5 and 6, find the slope of the line that goes through the following points. 5. (1 point) –1 1 –4...
97. ### Physics

The drawing shows four point charges. The value of q is 2.4 µC, and the distance d is 0.86 m. Find the total potential at the location P. Assume that the potential of a point charge is zero at infinity. This is a question of electric potential difference created by point ...
98. ### calculs

Find the point of the parabola z= x^2+y^2 which is closest to the point (3 -6 4) B_ find the centroid of the first quare the area bounded by parabola y=x^2 and the line y= x2bar Cadet ermine the centroid of the first quarter to area of the curve x=acos^3theta y=sine^3theta
99. ### math

show that the point (3/5, 4/5) is the closest point on the circle x^2 + y^2= 1 to the point on (3,4) how do ido this
100. ### Math

Let f(x) be the parabola -x^2+16x-16. find the point (x,y) on f such that tangent line to f at (x,y) passes through the origin. My ans is (8,48). First i do f'x then i find x and lastly i find y. I do this because the max/min point is the point where tangent line pass through...