Question

first up, lets review the assignments learning objectives. get familiar with this topic by reviewing instruction and answering a couple of questions. question: use slopes and y - intercepts to determine if the lines x = - 7 and x = 5 are parallel. select the correct answer below: parallel not parallel

Explanation:

Step1: Recall slope - form of vertical lines

The equation of a vertical line is of the form $x = a$, where $a$ is a constant. The slope of a vertical line is undefined. The line $x=-7$ is a vertical line passing through $x = - 7$ on the $x$-axis and has no $y$-intercept (since it is parallel to the $y$-axis). The line $x = 5$ is a vertical line passing through $x = 5$ on the $x$-axis and has no $y$-intercept.

Step2: Compare slopes and y - intercepts

Since both lines $x=-7$ and $x = 5$ are vertical lines, they have the same (undefined) slope and no $y$-intercepts. Two lines with the same slope are parallel.

Answer:

Parallel