posted by .

Find the equation of a line parallel to 5x +6y = 0 at distance sqrt 61 from (-3,7)

I need help please. I don't have any idea

  • geometry -

    y = -(5/6)x for the first line, so the slope of your second (parallel) line is also -5/6. Its equation is
    y' = -(5/6)x + C
    C is the y-intercept of the second line.

    You have to choose C so that y and y' are sqrt61 apart.

    C is the hypotenuse of a right triangle with sides sqrt61 and (5/6)*sqrt61. Its value is sqrt[61 + (25/36)*61]
    = sqrt[(61/36)*61] = 61/6

    The line you want is
    y' = (-5/6)x + 61/6

  • geometry -

    There is a second line that is also a solution, below the first line
    y' = (-5/6)x - 61/6

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Geometry

    Okay, this is a problem that I've tried over ten times before getting a fresh problem and trying that one too. I've never gotten a correct answer and I can't figure out why it's not right. Here's the problem, "Find the distance between …
  2. Algebra

    I know that standard form is Ax+By=C, but I'm not really sure how to do this problem. All help is welcome. Thanks in advance. Write an equation for each line: through (-1,3) and parallel to y=2x+1 I know that the slop will be 2 because …
  3. calc

    standard equation of circle concentric with X^2+Y^2-2X-8Y+1=0 and tangent to line 2X-Y=3 Complete the squares to find the center of the circle. X^2+Y^2-2X-8Y+1=0 (x-1)^2+(y-4)^2 - 16 =0 The center is (1,4) and the radius for the given …
  4. Geometry

    Within an orthonormal system consider points A(1,4) B(5,1) C(4,8) (a)Calculate the angle ABC (b)Show that 3x+4y-19=0 is an equation for line L which passes through A and B (c)Find a vector equation for line L (d)(i)give an equation …
  5. Math

    1.Find the distance between P(7, -4) and the line with equation x - 3y + 5 = 0 round to nearest tenth 3Y=x+5 y=(x+5)/3 -1/m = -3 y=-3x+b sub in P(7,-4) -4=-3(7)+b b=21-4 b=17 y=-3x+17 set the two equations equal. -3x+17=(x+5)/3 -9x+51=x+5 …
  6. Geometry

    I need help on a geometry proof!!!! If Line AB is parallel to Line DC and Line BC is parallel to line AD, prove that angle B is congruent to angle D. The picture is basically a square or parallelogram with line DC on the Top and Line …
  7. Math please help

    Find an equation of the line that is tangent to the graph of f and parallel to the given line. Function Line f(x) = 2x^2 6x – y + 4 = 0 I know i have to find derivative 1st which will be f'(x)=4x but then how to i find equation do …
  8. Calculus

    Find an equation of the line that is tangent to the graph of f and parallel to the given line. Funtion: f(x)=1/sqrt(x-1) Line: x+2y+7=0
  9. Math - Quadratics & Analytical Geometry

    I have a test tomorrow with a few sample questions that are expected to be on the test that I do not know how to properly do. 1)Find the slope intercept equation of the line passing through the intersection of the lines 2x-4y=1 & 3x+4y=4 …
  10. Math - Coordinate Geometry

    Find the equation of the line which passes through the point (6, -4) and is parallel to to the line 2x-3y+3=0. Please show working out as well, thanks.

More Similar Questions