You can put this solution on YOUR website! You have the x- and y- intercepts.
That should be enough to get the equation because two points determine a line.
The point (0,-3) tells you that when , , and then .
The point (-2,0) tells you that when , , and then .
The equation covers both of the cases above.
That is the intercepts form of the equation for the line.
Let's make it a little prettier by multiplying both sides of the equal sign times : looks pretty enough to me.
If you want the slope-intercept form, you can solve for :