Question

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

Answer 1

Answer: OPTION B.

Step-by-step 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:

$m=\frac{y_2-y_1}{x_2-x_1}$

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:

$m=\frac{-8-4}{2-6}=3$

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

$3-(-2)=5$