In math and statistics, you may occasionally need to calculate the slope of a line generated by coordinates in the (x,y) format. The slope is a value that indicates the rate at which the y value ...

That is, we approximate the tangent by a secant line and then let the points get arbitrarily close together to find the slope of the tangent.

2. Consider a tangent of the curve \ (y=17-2x^2\) that goes through the point \ ( (3,1)\text {.}\) Provide a diagram of this situation. Can you draw two tangent lines? Find the slopes of those tangent ...