Question

Find the equation of the line through point (-3, 8) and perpendicular to y = x + 14. Use a forward slash (i.e. "M) for

fractions (e.g. 1/2 for 3).

Answer 1

y+x = 5

Explanation:

Given the equation y = x + 14

Get the slope first

The slope m = 1

Since the required equation is perpendicular to the line, the required slope will be M = -1/1 = -1

Get the required equation using the equation y-y0 = m(x-x0)

(x0, y0) = (-3, 8)

y - 8 = -1(x-(-3))

y-8 = -(x+3)

y-8 = -x-3

y+x = -3+8

y+x = 5

Hence the required equation of the line is y+x = 5