Quiz about Writing Equations of Parallel and Perpendicular Lines

Question 1

Slopes of parallel lines are...

Accepted Answer

the same.

Answer

negative reciprocals.

Answer

negatives.

Answer

always 7.

Question 2

Slopes of perpendicular lines are...

Accepted Answer

negative reciprocals.

Answer

negatives.

Answer

the same.

Answer

always 7.

Question 3

What slope is parallel to:
m = 3/4

Accepted Answer

3/4

Answer

4/3

Answer

-3/4

Answer

-4/3

Question 4

What is the slope of a line perpendicular to 5?

Accepted Answer

-1/5

Answer

5

Answer

1/5

Answer

-5

Question 5

Consider the equations below. What is the best description of these lines?
$$y=-\frac{1}{3}x+4$$

$$y=3x+1$$

Accepted Answer

perpendicular

Answer

<html><head></head><body>parallel</body></html>

Answer

intersecting

Question 6

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

Accepted Answer

Perpendicular

Answer

Parallel

Answer

Neither

Question 7

Write an equation in point-slope form for a line perpendicular to $$y=-5x+3$$ and that passes through the point (-5, -4).

Accepted Answer

$$y=\frac{1}{5}x-3$$

Answer

$$y=-5x-29$$

Answer

$$y=\frac{1}{5}x+3$$

Answer

$$y=-5x+1$$

Question 8

Write an equation of a line in point-slope form that passes through the point (3, 4) and is parallel to the line $$y=6x+2$$ .

Accepted Answer

$$y=6x-14$$

Answer

$$y=6x+14$$

Answer

$$y=-\frac{1}{6}x+\frac{9}{2}$$

Answer

$$y=-6x+22$$

Question 9

Determine the equation of the line that is PERPENDICULAR to the line $$y=-\frac{1}{4}x+1$$ and contains the point (-2 , 6).

Accepted Answer

y = 4x + 14

Answer

$$y=-\frac{1}{4}x+6$$

Answer

y = 3x + 12

Answer

$$y=-4x-12$$

Question 10

Write an equation in point-slope form for a line perpendicular to $$y=\frac{1}{2}x+4$$ and that passes through the point (0, 5).

Accepted Answer

$$y=-2x+5$$

Answer

$$y=\frac{1}{2}x+5$$

Answer

Answer

$$y=-2x-5$$

Question 11

Determine the equation of a line perpendicular to $$y=-3x-2$$ and going through the point (9, 2), in slope-intercept form.

Accepted Answer

$$y=\frac{1}{3}x-1$$

Answer

$$y=\frac{1}{3}x-3$$

Answer

$$y=-\frac{1}{3}x-9$$

Answer

$$y=-3x-9$$

Question 12

If I am looking for a line parallel to $$y=-3x-2$$ which one of these equations could it be?

Accepted Answer

$$y=-3x+6$$

Answer

$$y=-2x-1$$

Answer

Answer

$$y=-2x-3$$

Question 13

$$y=3x+2$$ and $$y=3x-3$$
These lines are...

Accepted Answer

<html><head></head><body>parallel</body></html>

Answer

the same line

Answer

perpendicular

Answer

<html><head></head><body>neither</body></html>

Question 14

$$y=\frac{-2}{3}x+2$$ and $$y=\frac{3}{2}x+9$$

Accepted Answer

Perpendicular

Answer

<html><head></head><body>Parallel</body></html>

Answer

<html><head></head><body>Neither</body></html>

Question 15

Are the lines parallel, perpendicular, or neither?
$$y=4x+7$$ $$y=-\frac{1}{4}x+2$$

Accepted Answer

Perpendicular

Answer

<html><head></head><body>Parallel</body></html>

Answer

<html><head></head><body>Neither</body></html>

Question 16

Select the line that is perpendicular to

y = 5x - 10

Accepted Answer

y = -1/5x + 4

Answer

y = 5x - 3

Answer

y = 1/5x - 3

Answer

y = -5x + 4

Question 17

Which of the following lines goes through the point (-3, 4) and is perpendicular to y = 3/2x + 6?

Accepted Answer

y = -2/3x + 2

Answer

y = 3/2x - 6

Answer

y = 2/3x + 3

Answer

y = -2/3x - 2

Question 18

y = 6x + 2
y = -6x + 2
These lines are...

Accepted Answer

Neither

Answer

Parallel

Answer

Perpendicular

Question 19

Choose the linear equation that is parallel to the following line

$$y=-\frac{1}{4}x-1$$

Accepted Answer

$$y=-\frac{1}{4}x+5$$

Answer

$$y=\frac{1}{4}x-1$$

Answer

$$y=-4x-1$$

Answer

Question 20

Choose the linear equation that is perpendicular to the following line

$$y=-\frac{1}{4}x-1$$

Accepted Answer

Answer

$$y=-\frac{1}{4}x+5$$

Answer

$$y=\frac{1}{4}x-1$$

Answer

$$y=-4x-1$$

Writing Equations of Parallel and Perpendicular Lines

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