If two non-vertical lines that room in the same airplane has the exact same slope, climate they are stated to it is in parallel. Two parallel currently won"t ever before intersect.

You are watching: What is the difference between perpendicular and parallel lines

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If two non-vertical currently in the same aircraft intersect at a appropriate angle then they are said to it is in perpendicular. Horizontal and also vertical lines are perpendicular come each other i.e. The axes the the name: coordinates plane.

Example

Compare the steep of the perpendicular lines

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The slope of the red line:

$$m_1=frac-3-22-left ( -3 ight )=frac-55=-1$$

The slope of the blue line

$$m_2=frac2-left ( -2 ight )3-left ( -1 ight )=frac44=1$$

The slopes of 2 perpendicular present are an unfavorable reciprocals.

See more: How Far Does Ground Rod Need To Be From Panel ? How Far Can A Ground Rod Be From Panel

The product the the slopes of two perpendicular currently is -1 since

$$mcdot -frac1m=-1,: : where: : m_1=m: : and: : m_2=-frac1m$$

Video lesson

Are these two line parallel?

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More great on this subject
Algebra 1Formulating direct equations: Writing linear equations using the slope-intercept formAlgebra 1Formulating linear equations: Writing straight equations making use of the point-slope form and the traditional form

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