Question

The function f(x) is shown in this graph the function g(x)=-3x-6. Compare the slopes

Answer 1

Answer:

B) The slope of $f(x)$ is same as the slope of $g(x)$

Step-by-step explanation:

Given function:

$g(x)=-3x-6$

Comparing the function with slope intercept equation of line i.e.

$y=mx+b$

where $m$ represents slope and $b$ represents y-intercept.

So, we can find $m$ for $g(x)$ which is the co-efficient of the $x$ term.

Slope of $g(x)=-3$

From graph of $f(x)$ we have two points on the line which are:

$(0,2)$ and $(-1,5)$

Slope of line can be given as:

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

$m=\frac{5-2}{-1-0}$

$m=\frac{3}{-1}$

∴ $m=-3$

So, we find that slope of $f(x)$ is same as $g(x)$