Question 1

Given the equation $$y = 2x + 3$$, what is the slope of the line?

Accepted Answer

$$2$$

Question 2

Which of the following is the correct point-slope form for a line passing through the point $$(4, -1)$$ with a slope of $$-3$$?

Accepted Answer

$$y + 1 = -3(x - 4)$$

Question 3

Convert the point-slope equation $$y - 2 = 5(x + 1) to $$slope-intercept form.

Accepted Answer

$$y = 5x + 7$$

Question 4

A line passes through $$(2, 3)$$ and has a slope of $$\frac{1}{2}. $$What is its equation in point-slope form?

Accepted Answer

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

Question 5

If a line has the equation $$y = -4x + 7$$, what is the $$y-$$intercept?

Accepted Answer

$$7$$

Question 6

Which of the following equations represents a line parallel to $$y = 3x - 5$$ and passing through $$(0, 2)$$?

Accepted Answer

$$y = 3x + 2$$

Question 7

Find the equation of the line in slope-intercept form that passes through $$(1, -2)$$ and $$(3, 2).$$

Accepted Answer

$$y = 2x - 4$$

Question 8

Which of the following is the correct step to convert $$y - 5 = 2(x + 3) to $$slope-intercept form?

Accepted Answer

Expand to $$y - 5 = 2x + 6$$, then add $$5 to $$both sides

Question 9

A real-world scenario: The cost $$C (in $$dollars) to rent a car is given by $$C = 50 + 0.2m$$, where $$m is $$the number of miles driven. What is the slope, and what does it represent?

Accepted Answer

Slope is $$0.2$$, representing the cost per mile driven.

Question 10

Given the equation $$y = -\frac{3}{4}x + 6$$, what is the slope and what does the negative sign indicate?

Accepted Answer

Slope is $$-\frac{3}{4}$$, indicating the line decreases as $$x$$ increases.

Question 11

If a line passes through $$(0, 5)$$ and $$(2, 9)$$, what is its equation in slope-intercept form?

Accepted Answer

$$y = 2x + 5$$

Question 12

Which of the following is the correct interpretation of the equation $$y = mx + b$$?

Accepted Answer

$$m is $$the slope and $$b is $$the $$y-$$intercept.

Converting Equations Between Polar and Rectangular Form

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