Question

What is the rate of change for a linear function that passes through the points (8, -10) and (-6, 14)

Answer 1

Answer: m=-1.714

I had this for a question in school. My teacher put it as right.

Answer 2

Answer:
`m=-1.714`

Explanation:

By definition, the slope of the line is described as "Rate of change".

You need to use the following formula to calcualte the slope of the line;

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

In this case you know that the line passes through these two points: (8, -10) and (-6, 14).

Then, you can say that:

`y_2=-10\\y_1=14\\\\x_2=8\\x_1=-6`

Knowing these values, you can substitute them into the formula for calculate the slope of a line:

`m=(-10-14)/(8-(-6))`

Finally, you must evaluate in order to find the slope of this line. You get that this is:

`m=(-24)/(8+6)\\\\m=(-24)/(14)\\\\m=-(12)/(7)\\\\m=-1.714`