Question 1

Which of the following is the slope-intercept form of the equation of a line with slope $$m = -3$$ passing through the point $$(-5, 3)$$?

Accepted Answer

$$y = -3x + 12$$

Question 2

Find the slope of the line passing through the points $$(9, 9)$$ and $$(4, 1). $$What is the value?

Accepted Answer

$$m = \frac{8}{5}$$

Question 3

A line passes through the points $$(-3, 5)$$ and $$(2, 1). $$What is the slope of a line parallel to this line?

Accepted Answer

$$m = -\frac{4}{5}$$

Question 4

Find the slope of a line perpendicular to the line passing through $$(8, 4)$$ and $$(-1, 7).$$

Accepted Answer

$$m = 3$$

Question 5

Which of the following is the equation of a line with slope $$-\frac{9}{2}$$ and $$y-$$intercept $$-\frac{43}{2} in $$slope-intercept form?

Accepted Answer

$$y = -\frac{9}{2}x - \frac{43}{2}$$

Question 6

Given the equation $$y = -4x + 5$$, what is the $$y-$$intercept?

Accepted Answer

$$5$$

Question 7

Which of the following points is an $$x-$$intercept of the line $$y = \frac{2}{3}x - 3$$?

Accepted Answer

$$(4.5, 0)$$

Question 8

A real estate agent uses the equation $$y = \frac{1}{3}x - 3 to $$estimate the value of a property, where $$x is $$the number of years since 2000 and $$y is $$the value in $$10,000s. $$What is the value of the property in 2010?

Accepted Answer

$$y = 0$$

Question 9

Which of the following equations represents a line passing through $$(2, -19)$$ and $$(5, 37)$$?

Accepted Answer

$$y = 18x - 55$$

Question 10

If a line has the equation $$4y = 36$$, what is the slope of the line?

Accepted Answer

$$0$$

Question 11

Given the equation $$y = -3x + 9$$, what is the $$x-$$intercept?

Accepted Answer

$$(3, 0)$$

Question 12

A business uses the equation $$y = -4x + 5 to $$model profit, where $$x is $$the number of products sold and $$y is $$the profit in thousands of dollars. What is the profit if 2 products are sold?

Accepted Answer

$$-3$$

Question 13

Which of the following is the equation of a line with slope $$\frac{2}{3}$$ and $$y-$$intercept $$-3$$?

Accepted Answer

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

Question 14

If a line has a slope of $$-\frac{9}{2}$$ and passes through the point $$(0, -\frac{43}{2})$$, what is its $$y-$$intercept?

Accepted Answer

$$-\frac{43}{2}$$

Question 15

Which of the following is the correct slope for a line perpendicular to a line with slope $$-\frac{4}{5}$$?

Accepted Answer

$$\frac{5}{4}$$

Question 16

Given the equation $$y = -4x + 5$$, what is the slope of the line?

Accepted Answer

$$-4$$

College Algebra Study Guide: Linear Equations, Graphs, and Slopes

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