Question

Which linear functions represent a slope of 4? Check all that apply.

Answer 1

Answer:

a and d

Step-by-step explanation:

Answer 2

Answer:

Option A and D

Step-by-step explanation:

If a line passes through two points $(x_1,y_1)$ and $(x_2,y_2)$, then the slope of the line is

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

In option A, the function passes through the points (3,-11) and (6,1). So, the slope of the linear function is

$m_A=\frac{1-(-11)}{6-3}=4$

In option B, the function passes through the points (0,3) and (9,5). So, the slope of the linear function is

$m_B=\frac{5-3}{9-0}=\frac{2}{9}$

In option C, the function passes through the points (-5,32) and (-1,24). So, the slope of the linear function is

$m_C=\frac{24-32}{-1-(-5)}=-2$

In option D, the function passes through the points (2,0) and (4,8). So, the slope of the linear function is

$m_D=\frac{8-0}{4-2}=4$

Therefore, the correct option are A and D.