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

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

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?

**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

## Next Chapter:

FORMULATING straight EQUATIONS – Scatter plots and also linear models

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