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

You are watching: Perpendicular lines intersect to form right angles

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If 2 non-vertical present in the same plane intersect in ~ a best angle then they are said to it is in perpendicular. Horizontal and also vertical lines are perpendicular come each various other i.e. The axes the the name: coordinates plane.

Example

Compare the steep of the perpendicular lines

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The steep of the red line:

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

The steep of the blue line

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

The slopes of 2 perpendicular currently are an unfavorable reciprocals.

See more: What Is The Graph Of 3X + 5Y = –15? Algebra Eoc Review

The product the the slopes of 2 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 classes on this subject
Algebra 1Formulating straight equations: Writing linear equations making use of the slope-intercept formAlgebra 1Formulating direct equations: Writing linear equations making use of the point-slope kind and the traditional form

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