Hello There!
First, let's find the slope using this formula:
m=[tex]\frac{y2-y1}{x2-x1}[/tex]
m=[tex]\frac{-8-(-6)}{-6-6}[/tex]
m=[tex]\frac{-8+6}{-6-6}[/tex]
m=[tex]\frac{-2}{-12}[/tex]
m=[tex]\frac{1}{6}[/tex]
So the slope is 1/6.
Now use the Point-Slope formula:
y-y1=m(x-x1)
y-(-6)=1/6(x-6)
y+6=1/6x-1
y=1/6x-1-6
y=1/6x-7
Therefore, our final answer is: [tex]y=\frac{1}{6} x-7[/tex]
Hope this helps you!
~Just a felicitous girlie
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