Question

function a and function b are linear functions. function a x y -7 -25 -2 -5 1 7 function b 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: Calculate slope of Function A

Use slope formula $m=\frac{y_2 - y_1}{x_2 - x_1}$. Take two points from Function A's table, say $(-7,-25)$ and $(-2,-5)$. Then $m_A=\frac{-5-(-25)}{-2 - (-7)}=\frac{-5 + 25}{-2+7}=\frac{20}{5}=4$.

Step2: Calculate slope of Function B

Function B passes through points $(0,0)$ and $(2,4)$. Using slope formula $m=\frac{y_2 - y_1}{x_2 - x_1}$, we have $m_B=\frac{4 - 0}{2-0}=\frac{4}{2}=2$.

Step3: Compare slopes

Since $4>2$, the slope of Function A is greater than the slope of Function B.

Answer:

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