Question

graph the line containing the point p and having slope m. p=(3,0) m = 3. use the graphing tool to graph the line. click to enlarge graph

Explanation:

Step1: Recall point - slope form

The point - slope form of a line is $y - y_1=m(x - x_1)$, where $(x_1,y_1)$ is a point on the line and $m$ is the slope. Here, $x_1 = 3$, $y_1=0$ and $m = 3$.

Step2: Substitute values into point - slope form

Substitute the values into the formula: $y-0 = 3(x - 3)$.

Step3: Simplify the equation

$y=3x - 9$.

Step4: Find another point

Let $x = 4$, then $y=3\times4 - 9=12 - 9 = 3$. So another point on the line is $(4,3)$.

Step5: Graph the line

Plot the point $P(3,0)$ and the point $(4,3)$ on the coordinate - plane and draw a straight line passing through them.

Answer:

Graph the line passing through the points $(3,0)$ and $(4,3)$ on the given grid.