Question

graph the line containing the point p and having slope m. p=(3, - 2), m = 0 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, $x_1 = 3$, $y_1=-2$ and $m = 0$.

Step2: Substitute values

Substitute the values into the point - slope form: $y-(-2)=0(x - 3)$.

Step3: Simplify the equation

$y + 2=0$, so $y=-2$. This is a horizontal line.

Answer:

The line is a horizontal line passing through the point $(3,-2)$ with the equation $y=-2$. To graph it, find the point $(3,-2)$ on the coordinate - plane and draw a horizontal line through it.