Answer:
y=-[tex]\frac{5}{8}[/tex]x-5
Step-by-step explanation:
Start with the slope equation [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex].
[tex]\frac{-10-(-5)}{8-0}=\frac{-5}{8}[/tex]
This is the slope of your equation
Now rearrange the slope-intercept equation to get your y-intercept
y=mx+b
y-mx=b
Now substitute either of your two points to find your y-intercept
-10-(-[tex]\frac{5}{8}[/tex](8))=b
-10-(-5)=b
-10+5=b
b=-5
Now that you have slope and the y-intercept you can write your equation:
y=-[tex]\frac{5}{8}[/tex]x-5
