$$y = \frac{5}{2}x - 7$$, \text{slope} = \frac{5}{2}$

Question 1

Which of the following is the standard form of a linear equation in two variables?

Accepted Answer

$$Ax + By = C$$

Question 2

Given the equation $$2x - y = 4$$, what is the $$x-$$intercept?

Accepted Answer

$$(2, 0)$$

Question 3

Given the equation $$2x - y = 4$$, what is the $$y-$$intercept?

Accepted Answer

$$(0, -4)$$

Question 4

Which of the following equations represents a vertical line?

Accepted Answer

$$x = -2$$

Question 5

What is the slope of the line given by $$y = 3x$$?

Accepted Answer

$$3$$

Question 6

If a line passes through the origin and has the equation $$Ax + By = 0$$, what is always true about its graph?

Accepted Answer

It passes through the point $$(0,0).$$

Question 7

Find the midpoint of the segment with endpoints $$(-5, 8)$$ and $$(3, -2). $$Use the midpoint formula.

Accepted Answer

$$(-1, 3)$$

Question 8

What is the slope of the line passing through the points $$(-6, 6)$$ and $$(4, 2)$$?

Accepted Answer

$$\frac{2-6}{4-(-6)} = -\frac{4}{10} = -\frac{2}{5}$$

Question 9

Rewrite the equation $$5x - 2y = 14 in $$slope-intercept form and identify the slope.

Accepted Answer

$$y = \frac{5}{2}x - 7$$, 	ext{slope} = \frac{5}{2}$

Question 10

A line has an undefined slope. Which of the following equations could represent this line?

Accepted Answer

$$x = 4$$

Question 11

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

Accepted Answer

A horizontal line through $$y = 3$$

Question 12

Given the points $$A(0, -7)$$ and $$B(\frac{14}{5}, 0)$$, what is the slope of the line passing through them?

Accepted Answer

$$\frac{5}{2}$$

Question 13

If the equation of a line is $$y = -x$$, what is the slope and $$y-$$intercept?

Accepted Answer

Slope $$= -1$$, $$y-$$intercept $$= 0$$

Question 14

Which formula is used to find the midpoint $$M of a $$segment with endpoints $$(x_1$, y_1$)$$ and $$(x_2$, y_2$)$$?

Accepted Answer

$$\left( \frac{x_1$ + x_2$}{2}, \frac{y_1$ + y_2$}{2} \right)$$

Question 15

A line passes through the points $$(0, -7)$$ and $$(4, 0). $$What is the slope of the line?

Accepted Answer

$$\frac{7}{4}$$

Question 16

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

Accepted Answer

It is a horizontal line through $$y = -2$$

Question 17

If a line has the equation $$x = -2$$, what can you say about its slope?

Accepted Answer

The slope is undefined

Question 18

Given the equation $$3x - y = 0$$, what is the $$y-$$intercept?

Accepted Answer

$$(0, 0)$$

Question 19

Which of the following best describes the process for finding the $$x-$$intercept of a line given by $$Ax + By = C$$?

Accepted Answer

Set $$y = 0$$ and solve for $$x$$

Study Guide: Linear Equations in Two Variables, Graphing, and Midpoint & Slope Concepts

Study Guide - Practice Questions