Answer:
y=[tex]-\frac{4}{5}[/tex]x-5
Step-by-step explanation:
The coordinates (0,-5) tells us the y intercept of the line, which is -5.
To find the equation of the line, we have to use the equation [tex]m=\frac{y2-y1}{x2-x1}[/tex] to find the slope of the line. Plug in the values of the other coordinates (-5,-1) into the equation, which would then leave you with :
m=[tex]\frac{(-1)-(-5)}{(-5)-0}[/tex]
we then solve for m(the slope) and we get:
m=[tex]-\frac{4}{5}[/tex]
so the equation of the line is y=[tex]-\frac{4}{5}[/tex]x-5
