$$x = \\sqrt{2},\\ -\\sqrt{2}$$

$$y - 1 = -\\frac{1}{2}(x - 2)$$

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

Question 1

Given the equation $$y = x^2$ - 1$$, what is the $$y-$$intercept of its graph?

Accepted Answer

$$y = -1$$

Question 2

Which of the following is the correct point-slope form of the equation of a line passing through $$(2, 1)$$ with slope $$m = 3$$?

Accepted Answer

$$y - 1 = 3(x - 2)$$

Question 3

Find the $$x-$$intercepts of the graph $$y = x^2$ - 2.$$

Accepted Answer

$$x = \sqrt{2},\ -\sqrt{2}$$

Question 4

Which of the following equations represents a vertical line?

Accepted Answer

$$x = a$$

Question 5

If two lines have slopes $$m_1$$ and $$m_2$$ such that $$m_1$$ $$m_2 = -1$, what is true about the lines?

Accepted Answer

They are perpendicular.

Question 6

Find the point of intersection of the graphs $$x^2 + y = 6$ and x^2$ + y = 4.$$

Accepted Answer

There is no solution.

Question 7

Which of the following is the slope-intercept form of a line with slope $$-2$$ and $$y-$$intercept $$3$$?

Accepted Answer

$$y = -2x + 3$$

Question 8

Given the line $$4x - 2y = 3$$, what is its slope?

Accepted Answer

Question 9

Which of the following is the equation of a line parallel to $$4x - 2y = 3$$ passing through $$(2, 1)$$?

Accepted Answer

Question 10

If the equation of a line is $$y = mx + b$$, what does $$b$$ represent?

Accepted Answer

The $$y-$$intercept

Question 11

Find the equation of the line perpendicular to $$4x - 2y = 3$$ passing through $$(2, 1).$$

Accepted Answer

$$y - 1 = -\frac{1}{2}(x - 2)$$

Question 12

Which of the following is the general form of a line?

Accepted Answer

$$Ax + By + C = 0$$

Question 13

Given the graph of $$y = x^2$ - 1$$, which of the following points lies on the graph?

Accepted Answer

$$(2, 3)$$

Question 14

If a line passes through $$(2, 1)$$ and is parallel to $$y = 2x - 3$$, what is its equation?

Accepted Answer

Question 15

Which of the following is true about the slopes of two parallel lines?

Accepted Answer

Their slopes are equal.

Question 16

Find the $$x-$$intercept of the line $$y = 2x - 4.$$

Accepted Answer

$$x = 2$$

Question 17

Which of the following is the equation of a horizontal line?

Accepted Answer

$$y = b$$

Question 18

If the slope of a line is undefined, what type of line is it?

Accepted Answer

Vertical line

Question 19

Given the system $$x^2 + y = 6$ and x^2$ + y = 4$$, what is the solution for $$y$$?

Accepted Answer

No solution

Question 20

Which of the following is the correct formula for the slope between two points $$(x_1$, y_1$)$$ and $$(x_2$, y_2$)$$?

Accepted Answer

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

Graphs of Equations and Lines: Intercepts, Intersection Points, and Line Relationships

Study Guide - Practice Questions