Question 1

Which of the following best describes the x-intercept of a graph?

Accepted Answer

The point where the graph crosses the x-axis, with y always zero.

Question 2

Given the equation $$y = x^2$ + 3$$, which of the following ordered pairs is a solution to the equation?

Accepted Answer

$$(2, 7)$$

Question 3

What is the slope of the line passing through the points $$(-1, 1)$$ and $$(4, 3)$$?

Accepted Answer

$$m = \frac{3 - 1}{4 - (-1)} = \frac{2}{5}$$

Question 4

Which quadrant does the point $$(-3, -4)$$ lie in?

Accepted Answer

Quadrant III

Question 5

If a graph crosses the y-axis at $$(0, -2)$$, what is the y-intercept?

Accepted Answer

$$y = -2$$

Question 6

For the equation $$y = \sqrt{x} + 1$$, which of the following x-values is NOT valid for plotting points?

Accepted Answer

$$x = -1$$

Question 7

A line passes through the points $$(2, 4)$$ and $$(5, 10). $$What is its slope?

Accepted Answer

$$m = \frac{10 - 4}{5 - 2} = 2$$

Question 8

Which of the following equations represents a function whose graph is a parabola opening upwards?

Accepted Answer

$$y = x^2$ + 3$$

Question 9

If the equation of a line is $$y = 2x - 5$$, what is the y-intercept?

Accepted Answer

$$-5$$

Question 10

Which of the following best describes the process of graphing two-variable equations by plotting points?

Accepted Answer

Choose several x-values, calculate corresponding y-values, plot the points, and connect them.

Question 11

Given the equation $$y = -2x + 1$$, what is the y-value when $$x = 3$$?

Accepted Answer

$$y = -2(3) + 1 = -6 + 1 = -5$$

Question 12

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 13

If a graph passes through the points $$(0, 3)$$ and $$(2, 7)$$, what is the equation of the line in slope-intercept form?

Accepted Answer

$$y = 2x + 3$$

Question 14

Which of the following points lies in Quadrant II?

Accepted Answer

$$(-2, 5)$$

Question 15

For the equation $$y = x + 2$$, what is the x-intercept?

Accepted Answer

$$x = -2$$

Question 16

Which of the following is NOT a solution to the equation $$y = x^2$ + 3$$?

Accepted Answer

$$(2, 6)$$

Question 17

A line has a slope of $$m = -1. $$Which of the following equations could represent this line?

Accepted Answer

$$y = -x + 2$$

Question 18

If the equation $$y = x^2$ + 3 is $$graphed, what is the y-intercept?

Accepted Answer

$$3$$

Question 19

Which of the following best describes the domain of the function $$y = \sqrt{x} + 1$$?

Accepted Answer

$$x \geq 0$$

Graphing and Analyzing Linear Equations in the Rectangular Coordinate System

Study Guide - Practice Questions