Question 1

Given the points (4, -2) and (-1, 5), what is the slope of the line passing through these points?

Accepted Answer

$$m = \frac{5 - (-2)}{-1 - 4} = \frac{7}{-5} = -\frac{7}{5}$$

Question 2

Which of the following is the point-slope form of the equation for a line with slope $$m = 6$$ passing through the point $$(2, -5)$$?

Accepted Answer

$$y + 5 = 6(x - 2)$$

Question 3

What is the slope-intercept form of the equation for a line with slope $$m = 3$$ and $$y-$$intercept $$b = -4$$?

Accepted Answer

$$y = 3x - 4$$

Question 4

Which equation represents a horizontal line passing through the point $$(0, 5)$$?

Accepted Answer

$$y = 5$$

Question 5

What is the slope of the line given by the equation $$x = -3$$?

Accepted Answer

Undefined

Question 6

Given the general form $$2x - 3y + 6 = 0$$, what is the $$y-$$intercept?

Accepted Answer

$$(0, -2)$$

Question 7

A line passes through $$(0, -3)$$ and $$(2, 0). $$What is its equation in slope-intercept form?

Accepted Answer

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

Question 8

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

Accepted Answer

Zero

Question 9

If a line has the equation $$y = -2x + 7$$, what is the $$x-$$intercept?

Accepted Answer

$$(\frac{7}{2}, 0)$$

Question 10

A scientist models the relationship between atmospheric CO$$_2 (in $$ppm) and global temperature (in $$^	ext{o}C) $$with the points $$(317, 57.04)$$ and $$(354, 57.64). $$What is the slope $$m of $$the line connecting these points, rounded to three decimal places?

Accepted Answer

$$m = \frac{57.64 - 57.04}{354 - 317} = \frac{0.60}{37} \approx 0.016$$

Question 11

Which of the following is the general form of the equation $$y = 2x - 5$$?

Accepted Answer

$$2x - y - 5 = 0$$

Question 12

A company’s profit $$P (in $$thousands of dollars) is modeled by $$P = 4x + 10$$, where $$x is $$the number of units sold (in hundreds). What is the profit if 300 units are sold?

Accepted Answer

$$P = 4 	imes 3 + 10 = 22$$

Question 13

Which of the following lines is perpendicular to $$y = \frac{1}{2}x + 3$$?

Accepted Answer

$$y = -2x + 1$$

Question 14

If a line has the equation $$3x + 4y - 12 = 0$$, what are its $$x- $$and $$y-$$intercepts?

Accepted Answer

$$x-$$intercept: $$(4, 0)$$, $$y-$$intercept: $$(0, 3)$$

Question 15

Which of the following best describes the graph of $$x = 7$$?

Accepted Answer

A vertical line crossing the $$x-$$axis at $$x = 7$$

Question 16

A line has the equation $$y = -\frac{2}{3}x + 4. $$What is the rise and run for the slope?

Accepted Answer

Rise = $$-2$$, Run = $$3$$

Question 17

Which of the following is the correct process to graph $$y = 2x + 1$$ using the slope and $$y-$$intercept?

Accepted Answer

Plot $$(0, 1)$$, then from there go up 2 units and right 1 unit to plot a second point

Question 18

A line in general form is $$5x - 2y + 8 = 0. $$What is its slope?

Accepted Answer

Linear Functions and Slope: Study Notes for College Algebra

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