Question

function a
function b
$y = 2x + 2$
which statement is true?
the slope of function a is greater than the slope of function b.
the slope of function a is less than the slope of function b.

Explanation:

Step1: Find slope of Function A

Use slope formula $\frac{y_2-y_1}{x_2-x_1}$. Pick points $(-10, -10)$ and $(10, 0)$ from the graph:
$\text{Slope}_A = \frac{0 - (-10)}{10 - (-10)} = \frac{10}{20} = \frac{1}{2}$

Step2: Identify slope of Function B

From $y=2x+2$ (slope-intercept form $y=mx+b$, $m$=slope):
$\text{Slope}_B = 2$

Step3: Compare the two slopes

$\frac{1}{2} < 2$, so $\text{Slope}_A < \text{Slope}_B$

Answer:

The slope of Function A is less than the slope of Function B.