Answer:
[tex]y=-2x-15[/tex]
Step-by-step explanation:
[tex]y=mx+b[/tex].
m is the slope of the line. To find it we can do [tex]\frac{dy}{dx}[/tex] which is the difference between the y-coordinates divided by the difference between the x-coordinates.
So: [tex]\frac{dy}{dx} =\frac{-9-(-3)}{-3-(-6)} =\frac{-6}{3} =-2[/tex]. Now we have the slope, let's input a set of coordinates into the equation so that we can find the constant [tex]b[/tex].
[tex]-9=-2(-3)+b[/tex]
[tex]b=-15[/tex] - Re-arranging to get b
Now re-write the equation as we have the constants.
[tex]y=-2x-15[/tex]
