Answer:
See Explanation
Step-by-step explanation:
The question is incomplete as the required graph is not attached. The general explanation is as follows:
To calculate the slope of a line, we select two points on the line.
Assume, the points are:
[tex](x_1,y_1) = (-1,0)[/tex]
[tex](x_2,y_2) = (0,-4)[/tex]
The slope will be:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{-4-0}{0--1}[/tex]
[tex]m = \frac{-4}{1}[/tex]
[tex]m = -4[/tex]
For each of the options, the slope is calculated from the following representation
[tex]y = mx + b[/tex]
Where
[tex]m \to[/tex] slope i.e. the coefficient of c
By comparison, we have:
[tex]A.\ m =4[/tex]
[tex]B.\ m = 7[/tex]
[tex]C.\ m = -4[/tex]
[tex]D.\ m = -4[/tex]
So: (C) and (D) have the same coefficients as the assumed function
