Question

Mr. Shaw graphs the function f(x) = –5x + 2 for his class. The line contains the point (-2, 12). What is the point-slope form of the equation of the line he graphed?

Answer 1

y-12=-5(x+2)

Explanation:

the point slope equation formula is

y-y₁=m(x-x₁)

being (x₁;y₁) = (-2, 12) and m= -5

then

y-12=-5(x+2)

to check that is the same equation we can isolate y

y=-5(x+2)+12

y=-5x-10+12

y=-5x+2