Question

Line l is perpendicular to line m with equation 2x + 5y = 20. line l intersects line m at (-5,6).

The equation of line l, in slope- intercept for, is

Answer 1

The equation is y = -2/5x + 4

Step-by-step explanation:

First we have to find the slope of the line. In order to do so, solve the first equation for y.

2x + 5y = 20

5y = -2x + 20

y = -2/5x + 4

This gives us a slope of -2/5. Given that information, we now can plug the slope and point into point-slope form and get the final equation.

y - y1 = m(x - x1)

y - 6 = -2/5(x - -5)

y - 6 = -2/5(x + 5)

y - 6 = -2/5x - 2

y = -2/5x + 4