Question 1

Which point represents the x-intercept of the graph of the equation $$x + 3y = 0$$?

Accepted Answer

$$(3, -1)$$

Question 2

What is the y-intercept of the line represented by the equation $$2x + 3y = 6$$?

Accepted Answer

$$(0, 2)$$

Question 3

A line passes through the points $$(4, 0)$$ and $$(0, 3). $$What is the equation of the line in standard form?

Accepted Answer

$$4x + 3y = 12$$

Question 4

Which of the following describes the graph of $$y = 3$$?

Accepted Answer

A horizontal line passing through $$y = 3$$

Question 5

If a line passes through $$(2, 0)$$ and $$(0, 4)$$, what are its x- and y-intercepts?

Accepted Answer

x-intercept: $$2$$, y-intercept: $$4$$

Question 6

What is the y-intercept of the line $$x = -2$$?

Accepted Answer

There is no y-intercept

Question 7

Which equation represents a vertical line?

Accepted Answer

$$x = -2$$

Question 8

Given the equation $$2x + 3y = 6$$, what is the x-intercept?

Accepted Answer

$$(3, 0)$$

Question 9

A horizontal line passes through the point $$(-2, 3). $$What is its equation?

Accepted Answer

$$y = 3$$

Question 10

If a line passes through the origin and has the equation $$x + 3y = 0$$, what are its x- and y-intercepts?

Accepted Answer

Both intercepts are $$0$$

Question 11

Which of the following points is NOT on the line $$y = 3$$?

Accepted Answer

$$(2, 2)$$

Question 12

What is the slope of the line passing through $$(0, 4)$$ and $$(2, 0)$$?

Accepted Answer

$$-2$$

Question 13

Which of the following equations has both x- and y-intercepts at the origin?

Accepted Answer

$$x + 3y = 0$$

Question 14

If a line passes through $$(3, 0)$$ and $$(0, 2)$$, what is the slope of the line?

Accepted Answer

$$-\frac{2}{3}$$

Question 15

Which of the following is true about the graph of $$x = -2$$?

Accepted Answer

It is a vertical line passing through $$x = -2$$

Question 16

A line passes through $$(0, 3)$$, $$(2, 1.5)$$, and $$(4, 0). $$What is the equation of the line in slope-intercept form?

Accepted Answer

$$y = -0.75x + 3$$

Question 17

Which of the following points is the y-intercept of the line $$x + 3y = 0$$?

Accepted Answer

$$(0, 0)$$

Question 18

If a line passes through $$(0, 2)$$ and $$(3, 0)$$, what is the equation in standard form?

Accepted Answer

$$2x + 3y = 6$$

Question 19

Which of the following points is NOT on the line $$x = -2$$?

Accepted Answer

$$(0, -2)$$

Question 20

Which of the following best describes the graph of $$y = -4$$?

Accepted Answer

A horizontal line passing through $$y = -4$$

Graphing Linear Equations Using Intercepts

Study Guide - Practice Questions