Parallel Perpendicular Lines

If you are asked to write the equation of a line that is parallel to y = 4x - 7 and passes through the point (2, -3) what steps would be correct?

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Answer explanation

Once we identify the new slope we can use the new point (given to us) and the new slope (we found) to use point-slope form and solve into slope-intercept form.

The lines have to be parallel so the slopes must stay the same!

If you are asked to write the equation of a line that is perpendicular to y = 4x - 7 and passes through the point (8, 5) what steps would be correct?

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• 

Answer explanation

Once we identify the new slope we can use the new point (given to us) and the new slope (we found) to use point-slope form and solve into slope-intercept form.

The lines have to be perpendicular so the slopes must be opposite reciprocals.

m = 4 becomes m = -1/4

Write an equation that is PARALLEL to the line y = x - 5 through (1, -2)

Are the two linear equations parallel, perpendicular, or neither?

• Parallel

• Perpendicular

• Neither

Tags

CCSS.8.EE.C.8B

Determine if the given pair of lines is parallel, perpendicular, or neither. 
y=-3x+5    &    y=-3x-15

• parallel

• perpendicular

• neither

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Write the equation of a line PERPENDICULAR to y = -1/3x + 5 and passes through the point (6,4)

A line is parallel to   y = 2x - 7.
What is it's slope?

• -2

• 1/2

• -1/2

• 2

Tags

CCSS.8.EE.B.5

A line is perpendicular to    y = 2x - 7.
What is the slope of this line? 

• -2

• 1/2

• -1/2

• 2

Tags

CCSS.8.EE.B.6

Determine if the given pair of lines is parallel, perpendicular, or neither. 
y=-2x-10     &      y=1/2x-1

• parallel

• perpendicular

• neither

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1