Question

Compare the slope of f(x)-2+3 and the slope of the chart of G(x) below

Answer 1

Answer: OPTION B.

Explanation:

The equation of the line in Slope-Intercept form is:

`y=mx+b`

Where "m" is the slope and "b" is the y-intercept.

Given:

`f(x)=-2x+3`

You can identify that its slope is:

`m=-2`

By definition, the slope can be calculated with this formula:

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

Then, in order to find the slope of g(x), you can pick the points (2,-8) and (6,4) and say that:

`y_2=-8\\y_1=4\\\\x_2=2\\x_1=6`

So, substituting these values into the formula, you get:

`m=(-8-4)/(2-6)=3`

If you subtract the slopes, you get that the positive difference between them, is:

`3-(-2)=5`