Question 1

Given two points $$A(2, 3)$$ and $$B(6, 7)$$, what is the equation of the line passing through these points in slope-intercept form?

Accepted Answer

$$y = x + 1$$

Question 2

What is the slope of the line passing through the points $$(1, 2)$$ and $$(4, 8)$$?

Accepted Answer

$$m = 2$$

Question 3

Which of the following is the correct point-slope form for a line passing through $$(3, -2)$$ with slope $$m = 4$$?

Accepted Answer

$$y + 2 = 4(x - 3)$$

Question 4

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

Accepted Answer

$$y = -3x + 5$$

Question 5

If a line has the equation $$2x - 3y = 6$$, what is its slope?

Accepted Answer

$$m = \frac{2}{3}$$

Question 6

Which of the following lines is parallel to $$y = 2x - 7$$?

Accepted Answer

$$y = 2x + 3$$

Question 7

A line passes through $$(4, -1)$$ and $$(4, 5). $$What is the equation of this line?

Accepted Answer

$$x = 4$$

Question 8

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

Accepted Answer

$$y = 2x - 1$$

Question 9

If a line has the equation $$y = 5$$, what is the slope of the line?

Accepted Answer

$$m = 0$$

Question 10

A real-world scenario: A taxi charges a flat fee of $$\3$ plus $$\$$2$$ per mile. Which equation models the total cost $$C$$ for $$x$$ miles?

Accepted Answer

$$C = 2x + 3$$

Question 11

Find the $$y-$$intercept of the line $$3x + 4y = 12.$$

Accepted Answer

$$(0, 3)$$

Question 12

Which of the following is the standard form of the equation $$y = -\frac{2}{3}x + 4$$?

Accepted Answer

$$2x + 3y = 12$$

Question 13

A line passes through $$(1, 2)$$ and has a slope of $$0. $$What is its equation?

Accepted Answer

$$y = 2$$

Question 14

If the equation of a line is $$y = mx + b$$, what does $$b$$ represent?

Accepted Answer

The $$y-$$intercept

Question 15

Which of the following points lies on the line $$y = 3x - 2$$?

Accepted Answer

$$(2, 4)$$

Study Notes on Lines and Their Equations

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