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=(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=(5-1)/(0-1) \\ m=(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`