complete the point - slope equation of the line through (-8, -1) and (-6, 5). use exact numbers. y - 5 =

Explanation:

Step1: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(-8,-1)$ and $(x_2,y_2)=(-6,5)$. Then $m=\frac{5-(-1)}{-6 - (-8)}=\frac{5 + 1}{-6+8}=\frac{6}{2}=3$.

Step2: Use the point - slope form

The point - slope form of a line is $y - y_1=m(x - x_1)$. We use the point $(-6,5)$ and $m = 3$. Substituting these values into the formula gives $y - 5=3(x+6)$.

Answer:

$y - 5=3(x + 6)$