Question

given the following graph, find the slope of the line that passes through points a and b.
a -4
b 4
c -\frac{1}{4}
d \frac{1}{4}

Explanation:

Step1: Recall slope - formula

The slope formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Assume coordinates

Let's assume the coordinates of point A are $(x_1,y_1)$ and of point B are $(x_2,y_2)$. If we assume A has coordinates $(0, 4)$ and B has coordinates $(4,3)$ (assuming a standard Cartesian - plane setup from the graph context).

Step3: Substitute values into formula

$m=\frac{3 - 4}{4-0}=\frac{-1}{4}=-\frac{1}{4}$.

Answer:

C. $-\frac{1}{4}$