complete the point - slope equation of the line through (-1, -10) and (5, 2). use exact numbers. y - 2 =

Explanation:

Step1: Calculate the slope

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(-1,-10)$ and $(x_2,y_2)=(5,2)$. Then $m=\frac{2-(-10)}{5 - (-1)}$. $m=\frac{2 + 10}{5+1}=\frac{12}{6}=2$.

Step2: Recall the point - slope form

The point - slope form of a line is $y - y_1=m(x - x_1)$. We are given the point $(5,2)$ and we found $m = 2$. Substituting into the point - slope form gives $y - 2=2(x - 5)$.

Answer:

$2(x - 5)$