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2.5 assignment find the slope of both lines given two points they pass …

Question

2.5 assignment
find the slope of both lines given two points they pass through. then determine whether the two lines are parallel, perpendicular, or neither.
line 1: (1, 0) and (2, 0)
line 2: (5, -5) and (-10, -5)
slope formula: $m=\frac{y_2 - y_1}{x_2 - x_1}$
parallel
perpendicular
neither

Explanation:

Step1: Calculate slope of Line 1

$m_1=\frac{0 - 0}{2 - 1}=0$

Step2: Calculate slope of Line 2

$m_2=\frac{-5-(-5)}{-10 - 5}=0$

Step3: Determine relationship

Since $m_1 = m_2=0$, the lines are parallel.

Answer:

parallel