Find the equation of the line passing through the point 3 5

Find the equation of the line passing through the point (-3, 5) and perpendicular to the line y = 1/2 x – 7.

Solution

y = 1/2 x – 7.

slope of the above line = 1/2

slope of line perpendicular to above line = -2

slope intercept form : y = mx +c ----> y = -2x +c

plug (-3,5) to find c:

5 = -2*-3 +c ---->c = -1

y = -2x -1