Question

Geometry 8.6.3 - Equations of Parallel and Perpendicular Lines and Proofs

Answer 1

Option B: $\frac{1}{25}$

Solution:

Slope of the perpendicular lines:

If two lines are perpendicular then their slopes are negative reciprocals of each other.

$m_1=\frac{-1}{ m_2}$

Slope of the parallel lines:

If two lines are parallel then they have the same slope.

i.e their slopes are equal.

$m_1=m_2$

Given line m and p are parallel.

Slope of the line m = $\frac{1}{25}$

Using slope of the parallel lines definition,

Slope of the line p = slope of the line m

Slope of the line p = $\frac{1}{25}$

Option B is the correct aswer.

Hence the slope of the of line p is $\frac{1}{25}$.