Question

What is the rate of change for the points (0,3) and (2,7)​

Answer 1

rate of change = 2 unit rise per 1 unit run

Explanation:

The rate of change of two points on a graph is represented by the slope of a line connecting the two points.

here we are given the coordinates of the two points, hence we can simply apply the slope formula for a line given two points (see attached)

for points (0,3) and (2,7)

x₁ = 0, y₁ = 3, x₂ = 2, y₂ = 7

substituting these into the formula

rate of change

= slope, m

= (y₂-y₁) / (x₂-x₁)

= (7 - 3) / (2 - 0)

= 4 / 2

= 2

Answer 2

2

Explanation:

The rate of change in function f(x) from x = a to x = b is (f(b) - f(a))/(b - a).

rate of change = (7 - 3)/(2 - 0) = 4/2 = 2