Question 1

Which of the following equations best matches the graph that passes through the points $$(-2, -1)$$, $$(0, 3)$$, and $$(1, 5)$$?

Accepted Answer

$$y = 2x + 3$$

Question 2

Given the graph of $$y = -\frac{2}{5}x$$, what are the coordinates of the point where the line crosses the y-axis?

Accepted Answer

$$(0, 0)$$

Question 3

Which equation corresponds to a line with a y-intercept at $$(0, -2)$$ and passing through $$(4, -5)$$?

Accepted Answer

$$4y + 3x = -8$$

Question 4

If a line has the equation $$y = -4$$, which of the following statements is true?

Accepted Answer

The line is horizontal and passes through all points with $$y = -4$$

Question 5

Which graph represents the equation $$x = 3$$?

Accepted Answer

A vertical line passing through $$(3, y)$$ for all $$y$$

Question 6

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

Accepted Answer

$$(-3, 0)$$

Question 7

A line passes through $$(0, 2)$$ and $$(3, 4). $$What is the slope of the line?

Accepted Answer

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

Question 8

Which of the following best describes the x-intercept of a linear equation?

Accepted Answer

The point where $$y = 0$$

Question 9

If a line passes through $$(0, 3)$$ and $$(-2, -1)$$, what is the equation of the line?

Accepted Answer

$$y = 2x + 3$$

Question 10

Which of the following is true about the graph of $$y = 2x + 3$$?

Accepted Answer

It is a straight line with slope $$2$$ and y-intercept $$3$$

Question 11

Which of the following equations represents a vertical line?

Accepted Answer

$$x = a$$

Question 12

If a line has the equation $$y = mx + b$$ and passes through $$(0, b)$$, what does $$b$$ represent?

Accepted Answer

The y-intercept

Question 13

Which of the following is the equation of a line with slope $$-1$$ and y-intercept $$2$$?

Accepted Answer

$$y = -x + 2$$

Question 14

A line passes through $$(0, -2)$$ and $$(4, -5). $$What is the slope of the line?

Accepted Answer

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

Question 15

Which of the following best describes the graph of $$y = b$$?

Accepted Answer

A horizontal line crossing the y-axis at $$b$$

Graphing Linear Equations and Understanding Intercepts

Study Guide - Practice Questions