Answer:
y = -1x - 9
Explanation:
First, we’ll need to find the slope.
(-5,-4) (-2,-7)
m = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
m = [tex]\frac{-4 - (-7)}{-5-(-2)}[/tex]
m = [tex]\frac{-3}{3}[/tex]
m = -1
Next, substitute these values into the point slope equation:
y - [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex])
y - (-7) = -1(x - (-2))
y + 7 = -1(x + 2)
Now, convert to slope intercept form (y = mx + b):
y + 7 = -1x -2
-7 -7
y = -1x - 9
