In order to find the equation for this line in the slope-intercept form, let's use two points of the line in the equation.
Using the points (-3, 3) and (0, -3), we have:
[tex]\begin{gathered} y=mx+b \\ (0,-3)\colon \\ -3=0\cdot m+b \\ b=-3 \\ \\ (-3,3)\colon \\ 3=-3m-3 \\ -3m=6 \\ m=-2 \end{gathered}[/tex]
So the slope of this line is m = -2, the y-intercept is b = -3 and the equation is y = -2x - 3.
