Slope intercept form is:
[tex]y=mx+b[/tex]
Where
m is the slope
b is the y-intercept (y-axis cutting point)
Now, the slope is given, so we have:
[tex]y=-2x+b[/tex]
We now need to find b. So we plug in the point.
-7 in x
-4 in y
Thus,
[tex]\begin{gathered} y=-2x+b \\ -4=-2(-7)+b \\ -4=14+b \\ -4-14=b \\ b=-18 \\ \end{gathered}[/tex]
So, the equation becomes:
[tex]y=-2x-18[/tex]
y = -2x - 18
