Question

Find the slope of each line. Then determine if the lines are parallel, perpendicular, or neither

Line 1: y = -2x + 1
Line 2: y = -2x + 3
Are the lines parallel, perpendicular, or neither?

Answer 1

As the slopes of both lines are equal, the lines are parallel to each other.

Further explanation:

The slopes of lines are used to determine if the lines are parallel, perpendicular or neither

• If the slopes are equal then the lines are parallel
• If the product of slopes is -1 then the lines are perpendicular
• If none of the above, then the lines are neither parallel nor perpendicular

When equations of lines are given in point-slope form,

the co-efficient of x is the slope

$y=mx+b$

m is the slope.

Let m_1 be the slope of first line and m_2 be the slope of second line

We see that the coefficient of x in both given equations is -2 which means

$m_1=m_2$

As the slopes of both lines are equal, the lines are parallel to each other.

Keywords: Equation of line, Parallel lines

Learn more about parallel lines at:

• brainly.com/question/4460262
• brainly.com/question/4639731

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