Question

Find the slop of the line that is parallel to the line graphed in the figure.

Answer 1

From the graph, we can get the points below;

$(1,1)\text{ and (0, 5)}$

That is, when x =1, y =1 and when x = 0, y = 5;

Then, the slope of the line is;

$\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \text{Where x}_1=1; \\ y_1=1 \\ x_2=0 \\ y_2=5 \end{gathered}$$\begin{gathered} m=\frac{5-1}{0-1} \\ m=\frac{4}{-1} \\ m=-4 \\ \end{gathered}$

The slope of parallel lines are equal.

That is, the slope of the line that is parallel to the line graphed is -4.

THE ANSWER is;

$-4$