Question 1

Which of the following lines is parallel to the line given by the equation $y = 2x + 3$?

Accepted Answer

$y = 2x - 5$

Answer

$y = -2x + 1$

Answer

$y = -\frac{1}{2}x + 3$

Answer

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

Question 2

What is the slope of a line perpendicular to the line given by the equation $y = -\frac{3}{4}x + 7$?

Accepted Answer

$\frac{4}{3}$

Answer

$-\frac{3}{4}$

Answer

$\frac{3}{4}$

Answer

$-\frac{4}{3}$

Question 3

If the line given by the equation $y = 5x + 2$ is perpendicular to the line with which of the following equations?

Accepted Answer

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

Answer

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

Answer

$y = 5x - 2$

Answer

$y = -5x + 7$

Question 4

Which equation represents a line perpendicular to the line with the equation $y = -\frac{2}{3}x + 4$?

Accepted Answer

$y = \frac{3}{2}x - 1$

Answer

$y = -\frac{2}{3}x - 4$

Answer

$y = -\frac{3}{2}x + 6$

Answer

$y = \frac{2}{3}x + 1$

Question 5

If the slope of a line is $3$, what is the slope of a line that is perpendicular to it?

Accepted Answer

$-\frac{1}{3}$

Answer

$-3$

Answer

$3$

Answer

$\frac{1}{3}$

Question 6

If the slope of a line is $-2$, what is the slope of a line that is parallel to it?

Accepted Answer

$-2$

Answer

$-\frac{1}{2}$

Answer

$\frac{1}{2}$

Answer

$2$

Question 7

Given the equation of a line in standard form $2x - 3y = 6$, what is the slope of a line perpendicular to it?

Accepted Answer

$-\frac{3}{2}$

Answer

$\frac{3}{2}$

Answer

$-\frac{2}{3}$

Answer

$\frac{2}{3}$

Question 8

If a line in standard form is given as $4x + 5y = 20$, what is the slope of a line parallel to it?

Accepted Answer

$-\frac{4}{5}$

Answer

$\frac{5}{4}$

Answer

$\frac{4}{5}$

Answer

$-\frac{5}{4}$

Question 9

Given the equation of a line $2y - 4x = 8$, which of the following is the slope of a line parallel to this line?

Accepted Answer

$2$

Answer

$-\frac{1}{2}$

Answer

$\frac{1}{2}$

Answer

$-2$

Question 10

If the slope of a line is $-5$, what is the slope of a line parallel to it?

Accepted Answer

$-5$

Answer

$5$

Answer

$\frac{1}{5}$

Answer

$-\frac{1}{5}$

Question 11

What is the slope of a line perpendicular to the line represented by the equation $y = -\frac{1}{4}x + 5$?

Accepted Answer

$4$

Answer

$\frac{1}{4}$

Answer

$-4$

Answer

$-\frac{1}{4}$

Question 12

Given the equation of a line $y = \frac{1}{4}x - 7$, which of the following lines is parallel to it?

Accepted Answer

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

Answer

$y = -\frac{1}{4}x + 7$

Answer

$y = -4x - 7$

Answer

$y = 4x + 7$

Question 13

If a line is described by the standard form equation $5x - 3y = 15$, what is the slope of a line that is parallel to this line?

Accepted Answer

$\frac{5}{3}$

Answer

$\frac{3}{5}$

Answer

$-\frac{3}{5}$

Answer

$-\frac{5}{3}$

Question 14

Given the slope-intercept equation $y = 4x + 7$, what is the slope of a line perpendicular to this line?

Accepted Answer

$-\frac{1}{4}$

Answer

$4$

Answer

$\frac{1}{4}$

Answer

$-4$

Question 15

If a line has the equation $y = -\frac{3}{4}x + 5$, which of the following is the slope of a line parallel to it?

Accepted Answer

$-\frac{3}{4}$

Answer

$\frac{4}{3}$

Answer

$\frac{3}{4}$

Answer

$-\frac{4}{3}$

Question 16

Given a line in the equation form $y = -5x - 2$, what is the slope of a line perpendicular to it?

Accepted Answer

$\frac{1}{5}$

Answer

$-5$

Answer

$-\frac{1}{5}$

Answer

$5$

Question 17

Given the standard form equation $6x - 9y = 12$, what is the slope of a line perpendicular to it?

Accepted Answer

$-\frac{3}{2}$

Answer

$\frac{3}{2}$

Answer

$\frac{2}{3}$

Answer

$-\frac{2}{3}$

Question 18

What is the slope of a line perpendicular to the line represented by $3x - 4y = 8$?

Accepted Answer

$-\frac{4}{3}$

Answer

$\frac{4}{3}$

Answer

$-\frac{3}{4}$

Answer

$\frac{3}{4}$

Question 19

Given the equation in standard form $7x + 2y = 14$, what is the slope of a line parallel to it?

Accepted Answer

$-\frac{7}{2}$

Answer

$-\frac{2}{7}$

Answer

$\frac{2}{7}$

Answer

$\frac{7}{2}$

Question 20

Given the equation of a line $4x - y = 12$, which of the following is the slope of a line perpendicular to this line?

Accepted Answer

$-\frac{1}{4}$

Answer

$\frac{1}{4}$

Answer

$4$

Answer

$-4$

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