complete the equation of the line through (-9,7) and (-6,-3). use exact numbers. y =

Explanation:

Step1: Calculate the slope

The slope $m$ formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(-9,7)$ and $(x_2,y_2)=(-6,-3)$. Then $m=\frac{-3 - 7}{-6-(-9)}=\frac{-10}{3}$.

Step2: Use point - slope form to find the y - intercept

The point - slope form is $y - y_1=m(x - x_1)$. Using the point $(-6,-3)$ and $m =-\frac{10}{3}$, we have $y+3=-\frac{10}{3}(x + 6)$. Expand the right - hand side: $y+3=-\frac{10}{3}x-20$. Subtract 3 from both sides to get the slope - intercept form $y=-\frac{10}{3}x-23$.

Answer:

$y =-\frac{10}{3}x-23$