Question

graph a line that is parallel to the given line. Determine the slope ofvthe given line andvthe one you graphed in simplest form.

Answer 1

we are given a line and we are asked to determine a graph of a line that is parallel to the given line. the graph of the parallel line is the following:

Now we will determine the slope of the given line using the following formula:

`m=(y_2-y_1)/(x_2-x_1)`

From the graph we choose the following points:

`\begin{gathered} (x_1,y_1)=(-9,0) \\ (x_2,y_2)=(0,-6) \end{gathered}`

replacing in the formula we get:

`m=(-6)/(0-(-9))=-(6)/(9)=-(2)/(3)`

therefore, the slope of the given line is -2/3.

To determine the slope of the line we draw we use the following points:

`\begin{gathered} (x_1,y_1)=(-3,0) \\ (x_2,y_2)=(0,-2) \end{gathered}`

replacing in the formula for the slope:

`m=(-2-0)/(0-(-3))=-(2)/(3)`

therefore, the slope of the line is -2/3, as expected the two slopes are equal due to the fact that the lines are parallel.