What is the equation of the parallel line to y = 3 x + 1 y=3x+1 y = 3 x + 1 that contains the point ( 5 , − 2 ) \left(5,\ -2\right) ( 5 , − 2 ) ?

y + 2 = 3 ( x − 5 ) y+2=3\left(x-5\right) y + 2 = 3 ( x − 5 )

y + 2 = − 1 3 ( x − 5 ) y+2=-\frac{1}{3}\left(x-5\right) y + 2 = − 3 1 ( x − 5 )

y − 5 = 3 ( x + 2 ) y-5=3\left(x+2\right) y − 5 = 3 ( x + 2 )

y − 5 = − 1 3 ( x + 2 ) y-5=-\frac{1}{3}\left(x+2\right) y − 5 = − 3 1 ( x + 2 )

What is the equation of the perpendicular line to y = 1 4 x − 3 y=\frac{1}{4}x-3 y = 4 1 x − 3 that contains the point ( − 1 , 2 ) \left(-1,\ 2\right) ( − 1 , 2 ) ?

y − 2 = − 4 ( x + 1 ) y-2=-4\left(x+1\right) y − 2 = − 4 ( x + 1 )

y + 1 = − 4 ( x − 2 ) y+1=-4\left(x-2\right) y + 1 = − 4 ( x − 2 )

y + 1 = 1 4 ( x − 2 ) y+1=\frac{1}{4}\left(x-2\right) y + 1 = 4 1 ( x − 2 )

y − 2 = 1 4 ( x + 1 ) y-2=\frac{1}{4}\left(x+1\right) y − 2 = 4 1 ( x + 1 )

What is the equation of the perpendicular line to 2 x + y = 10 2x+y=10 2 x + y = 1 0 that contains the point ( − 1 , − 7 ) \left(-1,\ -7\right) ( − 1 , − 7 ) ?

y = 1 2 x − 6.5 y=\frac{1}{2}x-6.5 y = 2 1 x − 6 . 5

y = − 2 x − 9 y=-2x-9 y = − 2 x − 9

y = − 2 x − 15 y=-2x-15 y = − 2 x − 1 5

y = 1 2 x + 2.5 y=\frac{1}{2}x+2.5 y = 2 1 x + 2 . 5

What is the equation of the parallel line to 2 x + y = 10 2x+y=10 2 x + y = 1 0 that contains the point ( − 1 , − 7 ) \left(-1,\ -7\right) ( − 1 , − 7 ) ?

y = − 2 x − 9 y=-2x-9 y = − 2 x − 9

y = 1 2 x − 6.5 y=\frac{1}{2}x-6.5 y = 2 1 x − 6 . 5

y = − 2 x − 15 y=-2x-15 y = − 2 x − 1 5

y = 1 2 x + 2.5 y=\frac{1}{2}x+2.5 y = 2 1 x + 2 . 5

Write the equation of a line PERPENDICULAR to y = -2x + 1 that passes through the point (2, 3).

y = 1 2 x + 2 y=\frac{1}{2}x+2 y = 2 1 x + 2

y = − 1 2 x + 1 2 y=-\frac{1}{2}x+\frac{1}{2} y = − 2 1 x + 2 1

y = − 2 x + 7 y=-2x+7 y = − 2 x + 7

y = − 2 x + 8 y=-2x+8 y = − 2 x + 8

Write the equation of a line PARALLEL to y = 2x + 3 that passes through the point (3, 1).

y = 2 x − 5 y=2x-5 y = 2 x − 5

y = 2 x − 3 y=2x\ -3 y = 2 x − 3

y = 2 x + 1 y=2x\ +\ 1 y = 2 x + 1

y = − 1 2 x + 5 2 y=-\frac{1}{2}x+\frac{5}{2} y = − 2 1 x + 2 5

Hudson graphed the equations y = 2x and y = 2x - 5. These lines are because their slopes are , and their y-intercepts are different.

different, but not opposite reciprocals

Gregory graphed the equations y = -3x + 5 and y = 2x - 5. These lines are because their slopes are .

intersecting at an angle that is not 90 degrees

different, but not opposite reciprocals

Mabel graphed the equations y = (1/3)x + 2 and y = 3x + 2. These lines are because their slopes are .

intersecting at an angle that is not 90 degrees

reciprocals, but are not opposites

Parallel and Perpendicular Lines

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Hard

Amalia Coughlan

FREE Resource

-1/2

1/2

-2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the slope of a line perpendicular to the line below.
y = 2x + 4

-1/2

1/2

-2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the slope of a line parallel to the line below
y = ½x + 4

1/2

-1/2

-2

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Parallel and Perpendicular Lines

45 questions

Perpendicular lines have the same slope.

The slope of perpendicular lines are negative reciprocals

Parallel lines have the same slope

The following two numbers are negative reciprocals of each other
2 and -1/2

Find the slope of a line parallel to the line below.
y = 2x + 4

Find the slope of a line perpendicular to the line below.
y = 2x + 4

Find the slope of a line parallel to the line below
y = ½x + 4

Find the slope of a line perpendicular to the line below
y = ½x + 4

The following represents slopes of two lines. Which answer choice describes the two lines?
m = 5 and m = -1/5

The following represents slopes of two lines. Which answer choice describes the two lines?
m = -1/3 and m = -1/3

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Parallel and Perpendicular Lines

45 questions

Perpendicular lines have the same slope.

The slope of perpendicular lines are negative reciprocals

Parallel lines have the same slope

The following two numbers are negative reciprocals of each other2 and -1/2

Find the slope of a line parallel to the line below. y = 2x + 4

Find the slope of a line perpendicular to the line below. y = 2x + 4

Find the slope of a line parallel to the line below y = ½x + 4

Find the slope of a line perpendicular to the line below y = ½x + 4

The following represents slopes of two lines. Which answer choice describes the two lines?m = 5 and m = -1/5

The following represents slopes of two lines. Which answer choice describes the two lines?m = -1/3 and m = -1/3

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Discover more resources for Mathematics

The following two numbers are negative reciprocals of each other
2 and -1/2

Find the slope of a line parallel to the line below.
y = 2x + 4

Find the slope of a line perpendicular to the line below.
y = 2x + 4

Find the slope of a line parallel to the line below
y = ½x + 4

Find the slope of a line perpendicular to the line below
y = ½x + 4

The following represents slopes of two lines. Which answer choice describes the two lines?
m = 5 and m = -1/5

The following represents slopes of two lines. Which answer choice describes the two lines?
m = -1/3 and m = -1/3