Question 1

Given the points $$A(-3, -2)$$ and $$B(0, 4)$$, what is the slope of the line passing through these points?

Accepted Answer

$$m = \frac{4 - (-2)}{0 - (-3)} = \frac{6}{3} = 2$$

Question 2

Which of the following is the equation of a vertical line passing through the point $$(5, -2)$$?

Accepted Answer

$$x = 5$$

Question 3

What is the equation of the horizontal line passing through the point $$(3, 7)$$?

Accepted Answer

$$y = 7$$

Question 4

Given the equation $$2x - 3y = 6$$, what is the slope and $$y-$$intercept of the line?

Accepted Answer

Slope: $$\frac{2}{3}$$, $$y-$$intercept: $$-2$$

Question 5

Which of the following is the point-slope form of the equation of a line with slope $$-2$$ passing through $$(-3, 1)$$?

Accepted Answer

$$y - 1 = -2(x + 3)$$

Question 6

Find the equation of the line passing through $$(2, 3)$$ and $$(-4, 5) in $$slope-intercept form.

Accepted Answer

$$y = -\frac{1}{3}x + \frac{11}{3}$$

Question 7

Which of the following lines is parallel to $$y = -5x - 8$$ and passes through $$(0, 3)$$?

Accepted Answer

$$y = -5x + 3$$

Question 8

If a line is perpendicular to $$x + 2y = 2$$, what is its slope?

Accepted Answer

$$-\frac{1}{2}$$

Question 9

Which of the following is the equation of a line parallel to $$y = 5$$ and passing through $$(2, -3)$$?

Accepted Answer

$$y = -3$$

Question 10

A line passes through $$(2, -3)$$ and is perpendicular to $$y = 5. $$What is its equation?

Accepted Answer

$$x = 2$$

Question 11

Given two points $$P(1, 4)$$ and $$Q(1, -2)$$, what is the equation of the line passing through them?

Accepted Answer

$$x = 1$$

Question 12

Which of the following best describes the slope of a vertical line?

Accepted Answer

Undefined

Question 13

If a line has the equation $$y = mx + b$$, what does $$b$$ represent?

Accepted Answer

The $$y-$$intercept

Question 14

Which of the following is the general form of a line?

Accepted Answer

$$Ax + By + C = 0$$

Question 15

A road rises 8 meters for every 200 meters of horizontal distance. What is the slope of the road?

Accepted Answer

$$m = \frac{8}{200} = 0.04$$

Question 16

Which of the following lines is perpendicular to $$y = 2x + 1$$?

Accepted Answer

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

Question 17

Given the line $$3x - 4y = 12$$, what is its $$y-$$intercept?

Accepted Answer

$$y = -3$$

Question 18

Which of the following is the correct formula for the slope between two points $$(x_1$, y_1$)$$ and $$(x_2$, y_2$)$$?

Accepted Answer

$$m = \frac{y_2$ - y_1$}{x_2$ - x_1$}$$

Question 19

A line passes through $$(0, 5)$$ and $$(4, 1). $$What is its equation in slope-intercept form?

Accepted Answer

$$y = -x + 5$$

Question 20

Which of the following statements is true about parallel lines?

Accepted Answer

They have the same slope.

Lines: Slope, Equations, and Graphs

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