Question 1

Given the equation of a line in slope-intercept form $$y = mx + b$$, what does the parameter $$m$$ represent?

Accepted Answer

The slope of the line

Question 2

What is the y-intercept of the line given by $$y = -2x + 3$$?

Accepted Answer

$$3$$

Question 3

If a line passes through the point $$(0, 4)$$ and has a slope of $$-1$$, what is its equation in slope-intercept form?

Accepted Answer

$$y = -x + 4$$

Question 4

Which of the following lines is parallel to $$y = 2x - 5$$?

Accepted Answer

$$y = 2x + 1$$

Question 5

A line has the equation $$y = \frac{3}{4}x - 2. $$What is the slope of a line perpendicular to it?

Accepted Answer

$$-\frac{4}{3}$$

Question 6

Which equation represents a line with a y-intercept at $$-1$$ and a slope of $$5$$?

Accepted Answer

$$y = 5x - 1$$

Question 7

If the equation of a line is $$y = -x + 2$$, what is the value of $$y$$ when $$x = 3$$?

Accepted Answer

$$-1$$

Question 8

Which of the following points lies on the line $$y = 2x + 1$$?

Accepted Answer

$$(1, 3)$$

Question 9

A real-world scenario: The cost $$C (in $$dollars) to rent a car is given by $$C = 40 + 0.25m$$, where $$m is $$the number of miles driven. What does the number $$40$$ represent in this context?

Accepted Answer

The fixed base cost of renting the car

Question 10

Given the line $$y = -3x + 7$$, what is the x-intercept?

Accepted Answer

$$(\frac{7}{3}, 0)$$

Question 11

If a line passes through $$(2, 5)$$ and $$(4, 9)$$, what is its slope?

Accepted Answer

$$2$$

Question 12

Which equation is equivalent to $$y - 2 = 3(x + 1) in $$slope-intercept form?

Accepted Answer

$$y = 3x + 5$$

Question 13

A line has a slope of $$0. $$Which of the following could be its equation?

Accepted Answer

$$y = 4$$

Question 14

Which of the following best describes the graph of $$y = -2$$?

Accepted Answer

A horizontal line crossing the y-axis at $$-2$$

Question 15

If the equation of a line is $$y = 0.5x - 3$$, what is the y-intercept?

Accepted Answer

$$-3$$

Graphing Linear Equations in Slope-Intercept Form

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