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

You are watching: The product of the slopes of perpendicular lines is always

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If 2 non-vertical present in the same plane intersect at a best angle then they are claimed to be perpendicular. Horizontal and also vertical lines are perpendicular to each other i.e. The axes that the coordinate 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 slope of the blue line

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

The slopes of two perpendicular currently are negative reciprocals.

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The product of the slopes of two perpendicular present 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 class on this subject
Algebra 1Formulating linear equations: Writing direct equations making use of the slope-intercept formAlgebra 1Formulating linear equations: Writing straight equations using the point-slope form and the conventional form

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