Question 1

Given the equation $$y = -\frac{3}{5}x + 7$$, what are the slope and y-intercept of the line?

Accepted Answer

Slope: $$-\frac{3}{5}$$, y-intercept: $$7$$

Question 2

Which of the following equations is in slope-intercept form?

Accepted Answer

$$y = 4x - 2$$

Question 3

A line passes through the point $$(0, -3)$$ and has a slope of $$5. $$What is its equation in slope-intercept form?

Accepted Answer

$$y = 5x - 3$$

Question 4

If the equation of a line is $$3x + 4y = 0$$, what is the slope of the line?

Accepted Answer

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

Question 5

Which step is NOT part of the process for graphing $$y = mx + b$$ using the slope and y-intercept?

Accepted Answer

Plotting the x-intercept

Question 6

Given the equation $$y = 0.32x + 8$$, what does the number $$8$$ represent in the context of modeling the percentage of college graduates in the U.S. population?

Accepted Answer

The percentage of college graduates in 1960

Question 7

If a line has the equation $$y = -2x + 5$$, what is the y-intercept?

Accepted Answer

$$5$$

Question 8

A company tracks the number of products sold, $$y$$, as a function of months since launch, $$x$$, using the equation $$y = 150x + 2000. $$What does the slope represent in this context?

Accepted Answer

The number of additional products sold each month

Question 9

Which equation represents a line with a slope of $$0$$ and a y-intercept of $$-4$$?

Accepted Answer

$$y = -4$$

Question 10

A line passes through $$(0, 8)$$ and $$(50, 24). $$What is the slope of the line?

Accepted Answer

$$\frac{24 - 8}{50 - 0} = 0.32$$

Question 11

If the equation $$y = mx + b$$ models the percentage of high school graduates, and $$m = 0.42$$, what does $$m$$ represent?

Accepted Answer

The average annual increase in the percentage of high school graduates

Question 12

Which of the following best describes the graph of $$y = 3x - 2$$?

Accepted Answer

A line with slope $$3$$ and y-intercept $$-2$$

Question 13

A researcher uses the equation $$y = 0.32x + 8 to $$predict the percentage of college graduates $$x$$ years after 1960. What percentage does the model predict for the year 2020?

Accepted Answer

$$27.2\%$$

Question 14

Which of the following is the correct first step to graph $$2x + 3y = 6$$ using the slope and y-intercept?

Accepted Answer

Solve for $$y to $$write the equation in the form $$y = mx + b$$

Question 15

If the equation $$y = mx + b is $$used to model a real-world scenario, what does $$b$$ typically represent?

Accepted Answer

The initial value when $$x = 0$$

Slope-Intercept Form and Graphing Linear Equations in Two Variables

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