Question 1

Given the points $$(-1, 1)$$ and $$(1, 6)$$, what is the slope of the line passing through them?

Accepted Answer

$$m = \frac{6 - 1}{1 - (-1)} = \frac{5}{2}$$

Question 2

Which of the following is the correct formula for the slope $$m of a $$line passing through points $$(x_1$, y_1$)$$ and $$(x_2$, y_2$)$$?

Accepted Answer

$$m = \frac{y_2$ - y_1$}{x_2$ - x_1$}$$

Question 3

A line passes through the origin and has a slope of $$2. $$Which of the following is its equation in slope-intercept form?

Accepted Answer

$$y = 2x$$

Question 4

If a line has a slope of $$-3$$, which of the following points does NOT lie on the line $$y = -3x + 2$$?

Accepted Answer

$$(2, -4)$$

Question 5

Which of the following best describes the slope of a line that rises 4 units for every 1 unit it runs to the right?

Accepted Answer

$$m = 4$$

Question 6

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

Accepted Answer

$$m = 2$$

Question 7

Which of the following lines is parallel to the line $$y = \frac{5}{2}x - 3$$?

Accepted Answer

$$y = \frac{5}{2}x + 1$$

Question 8

If the slope of a line is $$0$$, which of the following best describes the line?

Accepted Answer

The line is horizontal.

Question 9

A line passes through $$(0, 0)$$ and $$(3, 6). $$What is the equation of the line in slope-intercept form?

Accepted Answer

$$y = 2x$$

Question 10

Which of the following is the slope of the line shown in the graph if it passes through $$(0, 0)$$ and $$(2, 4)$$?

Accepted Answer

$$m = 2$$

Understanding Slope and Linear Equations

Study Guide - Practice Questions