Question

What is the relationship between the line that
passes through (8, 6) and (2, 2) and the line
that passes through (10, 4) and (16, 13)?
The lines are parallel.
B
The lines are perpendicular.
c
The lines are neither parallel nor perpendicular.

Answer 1

The slopes of given lines are neither equal nor their product is -1 so the lines are neither parallel nor perpendicular.

Further explanation:

Given points are:

(8, 6) and (2, 2)

(10, 4) and (16, 13)

We have to find slope of both lines to determine the relationship among lines

The formula for slope is:

$m = \frac{y_2-y_1}{x_2-x_1}$

Let m1 be the slope of line 1 and m2 be the slope of line 2

$m_1 = \frac{2-6}{2-8}\\ = \frac{-4}{-6}\\ = \frac{2}{3}\\ m_2=\frac{13-4}{16-10}\\ = \frac{9}{6}\\ = \frac{3}{2}$

The relationship between two lines can be determined by their slopes

• If the slopes are equal, then the lines are parallel
• If the product of the slopes of lines is -1 then the lines are perpendicular

The slopes of given lines are neither equal nor their product is -1 so the lines are neither parallel nor perpendicular.

Keywords: Parallel lines, perpendicular lines

Learn more about slope at:

• brainly.com/question/11150876
• brainly.com/question/11416224

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