What is the equation of the line that passes through the point (-2,7)(−2,7) and has a slope of -2−2?

Question

i dont remember how to do this

Answer 1

Use the point slope formula

y-h = m(x-k) where m = slope and (k,h) is a point. m=-2, (k,h) = (-2,7). Just plug in those numbers for k,h and m to get

y-7 = -2(x+2)

simplify if you want to get

y = -2x -4 + 7 = -2x +3

2x + 7 + 3