Determine whether the lines are parallel, perpendicular, or neither. A line passing through $( 5,3 ) \text { and } ( 8,4 )$ A line passing through $( - 1 , - 7 ) \text { and } ( 0 , - 4 )$
A) parallel
B) perpendicular
C) neither

Question

Quizplus · Accepted Answer

The slope of the first line can be found using the formula $m = \frac{y_2 - y_1}{x_2 - x_1}$. For the first line passing through $(5,3)$ and $(8,4)$, the slope is $m_1 = \frac{4 - 3}{8 - 5} = \frac{1}{3}$. For the second line passing through $(-1, -7)$ and $(0, -4)$, the slope is $m_2 = \frac{-4 + 7}{0 + 1} = 3$. Since the slopes are neither equal (which would indicate parallel lines) nor negative reciprocals of each other (which would indicate perpendicular lines), the lines are neither parallel nor perpendicular.

Determine Whether the Lines Are Parallel, Perpendicular, or Neither (5,3) and (8,4)( 5,3 ) \text { and } ( 8,4 )(5,3) and (8,4)

Determine Whether the Lines Are Parallel, Perpendicular, or Neither $( 5,3 ) \text { and } ( 8,4 )$