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 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 -
**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^2-2X-8Y+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