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?

y - 12 = - 5(x + 2)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Given f(x) = - 5x + 2 ← in slope- intercept form with slope m = - 5

using m = - 5 and (a, b) = (- 2, 12), then

y - 12 = - 5(x - (- 2)), that is

y - 12 = - 5(x + 2) ← on point- slope form

just sum

10 + 10 = 20