Question

graph the equation and state the slope of the line if the slope exists
x = - 1
use the graphing tool to graph the linear equation.
click to enlarge graph

Explanation:

Step1: Analyze the equation

The equation $x = - 1$ represents a vertical line. For any value of $y$, $x$ is always -1.

Step2: Determine the slope

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. For a vertical line, $x_1=x_2=-1$. The denominator of the slope - formula becomes 0. Division by 0 is undefined. So the slope of the line $x = - 1$ is undefined.

Step3: Graph the line

On a coordinate - plane, plot points where $x=-1$ and $y$ can be any real number, such as $(-1,0),(-1,1),(-1, - 1)$ etc. Then draw a straight vertical line passing through these points.

Answer:

The slope of the line $x=-1$ is undefined. The graph is a vertical line passing through the point $(-1,0)$ (and all points with $x -$coordinate equal to -1).