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

You are watching: What is the slope of a line that is parallel to the x-axis

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If two non-vertical present in the same aircraft intersect at a ideal angle climate they are stated to it is in perpendicular. Horizontal and also vertical lines room perpendicular come each various other i.e. The axes of the coordinate 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 two perpendicular present are an adverse reciprocals.

See more: Which Molecule Should Have The Higher Dipole Moment, And Why?

The product of 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 great on this subject
Algebra 1Formulating straight equations: Writing straight equations using the slope-intercept formAlgebra 1Formulating direct equations: Writing direct equations using the point-slope kind and the typical form

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