Determine whether the lines are parallel, perpendicular, or neither. A line passing through $( - 3,2 ) \text { and } ( 4,3 )$ A line passing through $( - 5,3 ) \text { and } ( 9,5 )$
A) parallel
B) perpendicular
C) neither

Question

Quizplus · Accepted Answer

The slope of the first line can be calculated using the formula $m = \frac{y_2 - y_1}{x_2 - x_1}$. For the first line passing through $(-3,2)$ and $(4,3)$, the slope is $m_1 = \frac{3 - 2}{4 - (-3)} = \frac{1}{7}$. For the second line passing through $(-5,3)$ and $(9,5)$, the slope is $m_2 = \frac{5 - 3}{9 - (-5)} = \frac{2}{14} = \frac{1}{7}$. Since both lines have the same slope, they are parallel.

Determine Whether the Lines Are Parallel, Perpendicular, or Neither (−3,2) and (4,3)( - 3,2 ) \text { and } ( 4,3 )(−3,2) and (4,3)

Determine Whether the Lines Are Parallel, Perpendicular, or Neither $( - 3,2 ) \text { and } ( 4,3 )$