QUESTION IMAGE
Question
line p passes through points (-34, -2) and (-33, -5). line q passes through points (94, 23) and (95, 26). are line p and line q parallel or perpendicular? parallel perpendicular neither submit
Step1: Find slope of line p
The slope formula is $m = \frac{y_2 - y_1}{x_2 - x_1}$. For line p with points $(-34, -2)$ and $(-33, -5)$:
$m_p = \frac{-5 - (-2)}{-33 - (-34)} = \frac{-3}{1} = -3$
Step2: Find slope of line d
For line d with points $(94, 23)$ and $(95, 26)$:
$m_d = \frac{26 - 23}{95 - 94} = \frac{3}{1} = 3$
Step3: Check parallel or perpendicular
Parallel lines have equal slopes ($m_p
eq m_d$), so not parallel. Perpendicular lines have slopes that multiply to -1: $(-3) \times 3 = -9
eq -1$. So neither.
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