Question

M=-4/5,(-7, - 2) Find the equation of the line that has the given slope

Answer 1

Answer: $y=-\frac{4}{5}x-\frac{38}{5}$

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.

$-2=-\frac{4}{5}(-7)+b$          [multiply]

$-2=\frac{28}{5}+b$                  [subtract both sides by $\frac{28}{5}$]

$b=-\frac{38}{5}$

Now that we have the y-intercept, the equation is $y=-\frac{4}{5}x-\frac{38}{5}$.