Question

line d passes through points (46, -39) and (89, -21). line r passes through points (57, 22) and (39, -21). are line d and line r parallel or perpendicular? parallel perpendicular neither

Explanation:

Step1: Find slope of line d

The slope formula is $m = \frac{y_2 - y_1}{x_2 - x_1}$. For line d with points (46, -39) and (89, -21):
$m_d = \frac{-21 - (-39)}{89 - 46} = \frac{18}{43}$

Step2: Find slope of line r

For line r with points (57, 22) and (39, -21):
$m_r = \frac{-21 - 22}{39 - 57} = \frac{-43}{-18} = \frac{43}{18}$

Step3: Check parallel or perpendicular

Parallel lines have equal slopes ($m_d
eq m_r$), so not parallel. Perpendicular lines have slopes whose product is -1: $m_d \times m_r = \frac{18}{43} \times \frac{43}{18} = 1
eq -1$, so not perpendicular.

Answer:

neither