and this must be the slope of the tangent line at the point (x,y). So we plug in our x-value of and see that So we now use a well known formula for a line, point slope form

The average rate of change is just the calculation of the slope between the end point. So x=-2 and x=3 are the x coordinated of the endpoints, and the y values are and

And now plug into the slope formula to get

So yeah... you're answers are good, everything looks simple, and there's all the work you would need to show for full credit, you could prolly even skip some steps in there, but as this is a show me how question, I don't like to skip steps