Is there a way to calculate the incremental slope of a graph for each point and then plot (x, slope)?

I have made a graph from an array of y and x. I now want to calculate the slope between x1, x2, and x2, x3, and so on. Then I want to plot this slope against the x-values.

How would I go about doing this?

Answer 1

[Adam Danz]

The equation for slope is change in y divided by change in x.

slope = (y2 - y1) / (x2 - x1);

Assuming X and Y are vectors of equal length, you can calculate the slope between each neighboring coordinates at once.

slope = (y(2:end) - y(1:end-1)) / (x(2:end) - x(1:end-1));

If the length of X and Y is ' n', then slope will have length ' n-1'.

Then I want to plot this slope against the x-values.

plot(slope, x(2:end))