Question 1

Given the equation $$3x - 4y = 12$$, what is the slope of the line?

Accepted Answer

Question 2

Which of the following is the correct slope-intercept form for the equation $$2y + 5x = 10$$?

Accepted Answer

$$y = -\frac{5}{2}x + 5$$

Question 3

A line passes through the point $$(0, -3)$$ and has a slope of $$2. $$What is its equation in slope-intercept form?

Accepted Answer

$$y = 2x - 3$$

Question 4

If a line has the equation $$y = -\frac{1}{2}x + 4$$, what is the $$y-$$intercept?

Accepted Answer

$$4$$

Question 5

Which of the following equations is parallel to $$y = 3x - 7$$?

Accepted Answer

$$y = 3x + 2$$

Question 6

Convert the equation $$4y = 8x - 12 to $$standard form $$Ax + By = C.$$

Accepted Answer

$$8x - 4y = 12$$

Question 7

A line passes through $$(2, 5)$$ and $$(4, 9). $$What is its slope?

Accepted Answer

$$2$$

Question 8

Which of the following is the correct $$x-$$intercept for the equation $$2x + 3y = 6$$?

Accepted Answer

$$(3, 0)$$

Question 9

If a line has the equation $$y = -4x + 1$$, what is the slope of any line perpendicular to it?

Accepted Answer

$$\frac{1}{4}$$

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$$ for $$m$$ miles?

Accepted Answer

$$C = 2m + 3$$

Question 11

Given the equation $$y = 5$$, what is the slope of the line?

Accepted Answer

$$0$$

Question 12

Which of the following equations represents a vertical line?

Accepted Answer

$$x = 7$$

Question 13

If a line has the equation $$x - 2y = 8$$, what is the $$y-$$intercept?

Accepted Answer

$$(0, -4)$$

Question 14

Which of the following is the correct slope for the equation $$6x + 2y = 12$$?

Accepted Answer

$$-3$$

Question 15

A line passes through $$(0, 0)$$ and $$(5, 10). $$What is its equation in slope-intercept form?

Accepted Answer

$$y = 2x$$

Graphing Linear Equations: Slope-Intercept and Standard Form

Study Guide - Practice Questions