Posted by xavier on Monday, January 7, 2013 at 6:07am.
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  drwls, Monday, January 7, 2013 at 6:53am
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 yintercept 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  drwls, Monday, January 7, 2013 at 7:10am
There is a second line that is also a solution, below the first line
y' = (5/6)x  61/6
Answer This Question
Related Questions
 Geometry  Okay, this is a problem that I've tried over ten times before getting...
 calc  standard equation of circle concentric with X^2+Y^22X8Y+1=0 and tangent...
 Geometry  I need help on a geometry proof!!!! If Line AB is parallel to Line DC...
 Math  1.Find the distance between P(7, 4) and the line with equation x  3y + ...
 Math  Quadratics & Analytical Geometry  I have a test tomorrow with a few ...
 Algebra  I know that standard form is Ax+By=C, but I'm not really sure how to ...
 Calculus  Find an equation of the line that is tangent to the graph of f and ...
 Math please help  Find an equation of the line that is tangent to the graph of ...
 Geometry  Within an orthonormal system consider points A(1,4) B(5,1) C(4,8) (a)...
 Math  Coordinate Geometry  Find the equation of the line which passes through ...
More Related Questions