91Ó°ÊÓ

The slope of the line passing through the points $\left(x_1,y_1\right)\text{and}\left(x_2,y_2\right)$ is expressed below.

$m=\frac{y_2-y_1}{x_2-x_1}$

The y-intercept of a graph is when the x-coordinate is 0. The point where the graph of the equation cuts the y-axis.

It is provided that line passes through the point $\left(2,0\right)$ and parallel to the a line whose slope is 3.

Parallel lines have same slope. This means slope of line is equivalent to slope of the line 3.

Therefore, the slope of the line is $m=3$.

To obtain the other ordered pair through which the line passes interpret the slope. The slope is positive this means the line rises to the right.

Now, from the ordered pair $\left(2,0\right)$ move 3 units up (on y-axis) and 1 units right (on x-axis).

Therefore, the obtained ordered pair is $\left(3,3\right)$.

Plot the obtained ordered pairs $\left(2,0\right)$and $\left(3,3\right)$on Cartesian plane to obtain the graph of the line with slope $m=3$.