Answer:
Neither
Step-by-step explanation:
The slope of two lines tells us whether they are parallel, perpendicular or neither parallel nor perpendicular to each other.
Let's find the slope of each line using the formula below.
[tex]\boxed{\text{Slope}= \frac{y_1 - y_2}{x_1 - x_2} }[/tex]
Slope of line q
[tex] = \frac{5 - ( - 3)}{ - 6 - ( - 4)} [/tex]
[tex] = \frac{5 +3 }{ - 6 + 4} [/tex]
[tex] = \frac{8}{ - 2} [/tex]
[tex] = - 4[/tex]
Slope of line p
[tex] = \frac{ - 7 - ( - 3)}{8 - 3} [/tex]
[tex] = \frac{ - 7 + 3}{5} [/tex]
[tex] = - \frac{ 4}{5} [/tex]
Parallel lines have the same slope. This is becasue for two lines to never meet, they must have the same degree of steepness.
On the other hand, the product of the slopes of two perpendicular lines has a value of -1. In other words, the slope of a perpendicular line is the negative reciprocal of the given line.
This means that if the given line has a slope of m, the perpendicular line has a slope of [tex] - \frac{1}{m} [/tex].
In this case, lines p and q are neither parallel nor perpendicular to each other.
For a similar question on perpendicular and parallel lines, check out: https://brainly.com/question/2380798
