function a and function b are linear functions. which statement is true? the slope of function a is greater…

Explanation:

Step1: Find slope of Function A

Pick two points on Function A, say (0, - 4) and (8,0). Use slope - formula $m=\frac{y_2 - y_1}{x_2 - x_1}$. Then $m_A=\frac{0-( - 4)}{8 - 0}=\frac{4}{8}=\frac{1}{2}$.

Step2: Find slope of Function B

Use two points from the table of Function B, say (-7,-15) and (-5,-11). Apply slope - formula $m=\frac{y_2 - y_1}{x_2 - x_1}$. So $m_B=\frac{-11-( - 15)}{-5-( - 7)}=\frac{-11 + 15}{-5 + 7}=\frac{4}{2}=2$.

Step3: Compare slopes

Since $\frac{1}{2}<2$, the slope of Function A is less than the slope of Function B.

Answer:

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