bearings

The lines y=4x-7 and 2x+3y-21=0 intersect at a point A. The point B has coordinates (-2, 8).Find the equation of the lines that passes through the points A and B

  1. 👍 0
  2. 👎 0
  3. 👁 196
  1. for intersection , use substitution

    in the 2nd equation
    2x + 3y - 21 = 0
    2x + 3(4x-7) = 21
    2x + 12x - 21 = 21
    14x = 42
    x = 3
    y = 4(3) -7 = 5

    so we have the line going through (3,5) and (-2,8)
    slope of line = (8-5)/(-2-3) = -3/5

    using (3,5)

    y-5 = (-3/5)(x-3)
    times 5
    5y - 25 = -3(x-3)
    5y - 25 = -3x + 9

    3x + 5y = 34

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    1. Find the length of the hypotenuse of a right triangle with legs of 9 cm and 12 cm A. 8 cm B. 21 cm C. 15 cm D. 225 cm the length of the hypotenuse of a right triangle with legs of 13 cm the length of one leg is 5 cm find the

  2. math

    3.Graph the points A(–5, 0 ), B(–4, 3), and C(0, –4) on the same coordinate plane. 2. Without graphing, identify the quadrant in which the point (x, y) lies if x < 0 and y < 0. (1 point) 3.Determine which ordered pair is a

  3. Calculus

    The line that is normal to the curve x^2=2xy-3y^2=0 at(1,1) intersects the curve at what other point? Please help. Thanks in advance. We have x2=2xy - 3y2 = 0 Are there supposed to be 2 equal signs in this expression or is it x2 +

  4. math

    Draw a diagram to show that there are two tangent lines to the parabola y = x2 that pass through the point (0, −25). Find the coordinates of the points where these tangent lines intersect the parabola.

  1. Geometry

    A triangle is reflected across line L and then across line m. If the lines intersect, what kind of isometry is this composition of reflections? translation rotation reflection glide reflection*****? After a glide reflection, the

  2. calculus

    let f be the function f(x) = x^3 + 3x^2 - x + 2 a. the tangent to the graph of f at the point P = (-2,8) intersects the graph of f again at the point Q. Find the coordinates of point Q. b. Find the coordinates of point R, the

  3. Geometry

    The endpoints of AB are A(2, 3) and B(8, 1). The perpendicular bisector of AB is CD , and point C lies on AB. The length of CD is √10 units. The coordinates of point C are_____ . The slope of CD is _____ . The possible

  4. Pre Alg (Check my work?)

    1.) In which Quadrant is the point (x,y) located if x is negative and y is positive? II III IV (MY ANSWER) I 2.) Point A(5,-10) is reflected over the Y axis. Write the coordinates of A'. (-8,-10) (8,10) (8,-10) MY CHOICE (-8,10)

  1. Math-check my answers please :)

    1.Find the length of the hypotenuse of a right triangle with the legs of 9cm and 12cm A.8 B.21 C.15*** D.225 2.The length of a hypotenuse of a right triangle is 13cm. The length of one leg is 5cm. Find the length of the other leg.

  2. Geometry

    line segment ab is the diameter of circle O whose center has coordinates (6,8) . what are the coordinates of point b if the coordinates of point a are (4,2)

  3. 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 -

  4. math

    Which point has the coordinates(-0.5,- 2.5 )? A.point A B.point B*** C.point C D.point D What are the coordinates of point C? A. (-1, 2) B. (- 2,2) C. ( 1.5 ,2)*** D. (- 1.5, 2) Which statement is true about the ordered pair

You can view more similar questions or ask a new question.