Question

Please help me with this question

Answer 1

`m=(1)/(2)`

Explanation:

The average rate of change (m) for the given line segment can be found with

`m=(y_2-y_1)/(x_2-x_1)`

Given the graph, the following values can be recorded:

`(x_1,y_1)=(-1,-5)\\(x_2,y_2)=(1,-4)`

So,

`m=((-4)-(-5))/((1)-(-1))\\m=(-4+5)/(1+1)\\m=(1)/(2)`

This answer makes sense in both sign and scale with the given image.