slope is undefined; line has no y-intercept Refer to the image below for the graph.
Work Step by Step
RECALL: (1) The slope-intercept form of a line's equation is: $y=mx+b$ where $m$ = slope and $b$ = y-intercept (2) A vertical line has an undefined slope. The equation of the line is in the form $x=h$ where $h$ is the x-intercept. Every point on this line has an x-coordinate of $x=h$. Thus, the given equation $x=-4$ is a vertical line with an undefined slope. Since the line is vertical with an x-intercept of $-4$, the line has no y-intercept. To graph the line, perform the following steps: (1) Plot the x-intercept point $(-4, 0)$. (2) Plot another point with an x-coordinate of $-4$. (3) Complete the graph by connecting the two points using a straight line. (refer to the attached image in the answer part above for the graph)