Question

The table represents a linear function. The rate of change between the points (-5, 10) and (-4,5) is 5. What is the rate of

change between the points (-3,0) and (-2,-5)?
11119
0
5

Answer 1

Use the slope formula y2-y1/x2-x1 and you get, -5 - 0/ -2 + 3 = -5 The rate of change is also 5

Explanation:

Answer 2

`\boxed{-5}`

Explanation:

The formula for the slope (rate of change) m of a straight line is

m = Δy/Δx = (y₂ -y₁)/(x₂ - x₁)

We have two points on the line: (-3,0) and (-2,-5). Thus,

m = (-5 - 0)/(-2 - (-3)) = -5/(-2 + 3) = -5/1 = -5

`\text{The rate of change between the points is \boxed{\mathbf{-5}}}`