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

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

Accepted Answer

$$3$$

Question 5

If a line passes through the origin and has the equation $$y = -x$$, what is its slope?

Accepted Answer

$$-1$$

Question 6

What is the midpoint between the points $$(-5, 8)$$ and $$(3, -2)$$?

Accepted Answer

$$(-1, 3)$$

Question 7

Which formula gives the midpoint $$M of a $$line segment with endpoints $$(x_1$, y_1$)$$ and $$(x_2$, y_2$)$$?

Accepted Answer

$$\frac{x_1$ + x_2$}{2}, \frac{y_1$ + y_2$}{2}$$

Question 8

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

Accepted Answer

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

Question 9

If the equation to be graphed is $$y = 3$$, what kind of line will it produce?

Accepted Answer

A horizontal line

Question 10

If the equation to be graphed is $$x = -2$$, what kind of line will it produce?

Accepted Answer

A vertical line

Question 11

What is the slope of the line $$5x - 2y = 14$$ when rewritten in slope-intercept form?

Accepted Answer

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

Question 12

Which of the following best describes the slope of a vertical line?

Accepted Answer

Undefined

Question 13

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

Accepted Answer

$$(0, 0)$$

Question 14

If a line passes through the points $$(0, -7)$$ and $$(\frac{14}{5}, 0)$$, what is its slope?

Accepted Answer

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

Question 15

Which of the following is NOT a property of a linear equation in standard form $$Ax + By = C$$?

Accepted Answer

The graph is always a parabola

Question 16

If the endpoints of a line segment are $$(-5, 8)$$ and $$(3, -2)$$, what is the formula to find the midpoint?

Accepted Answer

$$\left( \frac{-5+3}{2}, \frac{8+(-2)}{2} \right)$$

Graphing Linear Equations and Finding Midpoints in the Coordinate Plane

Study Guide - Practice Questions