Parallels in Expressions Quiz

Challenge yourself with these questions on parallel lines, slopes, and equations. Check your understanding now!

Practice Learn Test

What is the equation of the line parallel to y = 3x + 2?

y = 3x + 4

y = 3x - 2

y = 2x + 3

y = -3x + 2

Which of the following pairs of equations represent parallel lines?

y = 2x + 3 and y = 2x - 4

y = -3x + 2 and y = 3x + 5

y = 4x - 1 and y = -4x + 1

y = 5x - 2 and y = -5x + 2

What is the condition for two lines to be parallel in terms of their slopes?

Their slopes must be equal.

Their slopes must be reciprocal.

Their slopes must be negative reciprocals.

Their slopes must be different.

If the equation of a line is y = 4x - 3, what is the slope of a line parallel to it?

-4

-3

If the slopes of two lines are negative reciprocals of each other, what can be said about the relationship between these lines?

They are parallel.

They are perpendicular.

They intersect.

They are coincident.

What is the slope of a line parallel to the x-axis?

-1

Undefined

If two lines are parallel, what can be said about their slopes?

Their slopes are equal.

Their slopes are reciprocal.

Their slopes are negative reciprocals.

Their slopes are different.

What is the slope of a line parallel to the line passing through points (3, 5) and (7, 11)?

-2

-1

Given the equation 2x + 3y = 9, what is the equation of a line parallel to it passing through the point (-1, 4)?

2x + 3y = 11

2x + 3y = 3

3x + 2y = 8

3x + 2y = 6

#10

What is the general form of the equation for a line parallel to the y-axis?

x = a

y = a

x = 0

y = 0

#11

If a line passes through points (-2, 3) and (4, -1), what is the equation of a line parallel to it passing through the point (1, 5)?

y = -x + 6

y = x + 6

y = -x + 4

y = x + 4

#12

If a line passes through points (2, 5) and (-3, 7), what is the equation of a line parallel to it passing through the point (1, -3)?

y = -2x + 7

y = -2x - 3

y = 2x + 3

y = 2x - 7

#13

What is the slope of a line parallel to a vertical line?

-1

Undefined

#14

If a line has a slope of 0, what can be said about a line parallel to it?

The parallel line has a slope of 0.

The parallel line has a negative slope.

The parallel line has an undefined slope.

The parallel line has a positive slope.

#15

Which of the following statements about parallel lines is true?

They have different slopes and different y-intercepts.

They have the same slope but different y-intercepts.

They have different slopes but the same y-intercept.

They have the same slope and the same y-intercept.

#16

If the equation of a line is 3x - 2y = 8, what is the equation of a line parallel to it and passing through the point (2, -3)?

3x - 2y = -8

3x - 2y = 2

3x - 2y = 4

3x - 2y = -4

#17

If the equation of a line is y = -2x + 4, what is the slope of a line parallel to it?

-2

1/2

-1/2

#18

If the equation of a line is 3x + 2y = 8, what is the equation of a line parallel to it and passing through the point (2, -3)?

3x + 2y = -8

3x + 2y = 2

3x + 2y = 4

3x + 2y = -4

#19

If the equation of a line is 4x - 2y = 6, what is the equation of a line parallel to it and passing through the point (-3, 5)?

4x - 2y = -12

4x - 2y = 2

4x - 2y = 4

4x - 2y = -4