Answer: [tex]y=-\frac{4}{5}x-\frac{38}{5}[/tex]
Step-by-step explanation:
To find the equation, you plug in the slope and given point. Then, you can solve and find the y-intercept.
[tex]-2=-\frac{4}{5}(-7)+b[/tex] [multiply]
[tex]-2=\frac{28}{5}+b[/tex] [subtract both sides by [tex]\frac{28}{5}[/tex]]
[tex]b=-\frac{38}{5}[/tex]
Now that we have the y-intercept, the equation is [tex]y=-\frac{4}{5}x-\frac{38}{5}[/tex].
