write the equation of the line that passes through the points (-6, -9) and (-8, -1). put your answer in…

write the equation of the line that passes through the points (-6, -9) and (-8, -1). put your answer in fully simplified point - slope form, unless it is a vertical or horizontal line.

write the equation of the line that passes through the points (-6, -9) and (-8, -1). put your answer in fully simplified point - slope form, unless it is a vertical or horizontal line.

Answer

Explanation:

Step1: Calculate the slope

The slope $m$ formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(-6,-9)$ and $(x_2,y_2)=(-8,-1)$. Then $m=\frac{-1-(-9)}{-8 - (-6)}=\frac{-1 + 9}{-8+6}=\frac{8}{-2}=-4$.

Step2: Use the point - slope form

The point - slope form is $y - y_1=m(x - x_1)$. Using the point $(-6,-9)$ and $m = - 4$, we get $y-(-9)=-4(x - (-6))$, which simplifies to $y + 9=-4(x + 6)$.

Answer:

$y + 9=-4(x + 6)$