A line goes through the points 25 and is perpendicular to t

A line goes through the points (- 2,5) and is perpendicular to the line 2 y = - 7 x - 20. In the text box below, enter an equation for the line. The equation can be in any form, it simply must be a correct equation that uses the variables x and y. It should not contain letters other than x and y. After entering your equation, click the Save Answer button. Enter The Equation Of The Line Here:

Solution

2y = -7x -20

y = -7x/2 -10

slope of the above line : m = -7/2

slope of line perpendicular to above : m = 2/7

Slope intercept form of equation: y = mx +c ---> y = 2x/7 +c

find c using point (-2, 5) :

5 = -4/7 +c

c= 5 +4/7 = 39/7

y = 2x/7 +39/7

7y = 2x +39 (Equation of Line)