If 2 non-vertical lines that space in the same airplane has the very same slope, then they are stated to be parallel. 2 parallel present won"t ever before intersect.

You are watching: How do you know if two lines are perpendicular

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If two non-vertical present in the same plane intersect at a appropriate angle climate they are claimed 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 slope 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 two perpendicular lines are an unfavorable reciprocals.

See more: Difference Between Borax And Baking Soda ? Borax Vs Baking Soda

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 2 line parallel?

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

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