mr. shaw graphs the function f(x) = -5x + 2 for his class. the line contains the point (-2, 12). what is the…

Explanation:

Step1: Recall point - slope form

The point - slope form of a line is $y - y_1=m(x - x_1)$, where $(x_1,y_1)$ is a point on the line and $m$ is the slope.

Step2: Identify slope and point

The function is $f(x)=-5x + 2$, so the slope $m=-5$. The given point is $(-2,12)$, so $x_1=-2$ and $y_1 = 12$.

Step3: Substitute values into point - slope form

Substitute $m=-5$, $x_1=-2$, and $y_1 = 12$ into $y - y_1=m(x - x_1)$. We get $y - 12=-5(x-(-2))$, which simplifies to $y - 12=-5(x + 2)$.

Answer:

A. $y - 12=-5(x + 2)$