Question

How do you find the slope of the tangent line to the graph of the function `f(x)=3/2x+1` at (-2,-2)?

Answer 1

`m=3/2`

Explanation:

`f(x) = 3/2x + 1` is a straight line, comparing with `y=mx+c` we see `m=3/2`, so the gradient of the tangent line is `3/2` everywhere.