can you find the rate of change

Question

can you find the rate of change for this question : find the rate of change from the given points (2, 5) (4, 10)

Answer 1

the slope = (10-5)/(4-2) = 5/2 = 2.5 = the rate of change

= the change in y divided by the change in x

as x increases by 2, y increases by 5. 5/2 is the rate of change

graph it or just a rough sketch of the two points and a line through them helps. Slope of the line is the rate of change.