Question 1

Which quadrant does the point $(-4, 3)$ lie in on the Cartesian coordinate system?

Accepted Answer

Quadrant II

Question 2

What is the $y$-intercept of the equation $2x + 3y = 18$?

Accepted Answer

$(0, 6)$

Question 3

Which of the following points is a solution to the equation $2x + 3y = 18$?

Accepted Answer

$(3, 4)$

Question 4

What is the distance between the points $(-2, 2)$ and $(4, -4)$?

Accepted Answer

$6\sqrt{2}$

Question 5

Find the midpoint of the segment whose endpoints are $(-4, -2)$ and $(1, 1)$.

Accepted Answer

$\left(-\frac{3}{2}, -\frac{1}{2}\right)$

Question 6

What is the equation of a circle with center $(1, -7)$ and radius $5$?

Accepted Answer

$(x - 1)^2 + (y + 7)^2 = 25$

Question 7

Given the equation $y = x^2 - 8x - 12$, what is the $y$-intercept?

Accepted Answer

$(0, -12)$

Question 8

If a circle has endpoints of its diameter at $(4, 6)$ and $(-1, -12)$, what is the center of the circle?

Accepted Answer

$(1.5, -3)$

Question 9

Which formula is used to find the distance between two points $(x_1, y_1)$ and $(x_2, y_2)$?

Accepted Answer

$\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Question 10

A circle has the equation $(x + 3)^2 + (y - 2)^2 = 16$. What is the radius of the circle?

Accepted Answer

$4$

Question 11

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

Accepted Answer

The point where $y = 0$

Question 12

If the equation of a circle is $(x - 2)^2 + (y + 5)^2 = 9$, what are the coordinates of the center?

Accepted Answer

$(2, -5)$

Question 13

Which of the following points lies on the circle $(x - 1)^2 + (y + 2)^2 = 25$?

Accepted Answer

$(1, 3)$

Question 14

What is the standard form of the equation of a circle with center $(h, k)$ and radius $r$?

Accepted Answer

$(x - h)^2 + (y - k)^2 = r^2$

Question 15

Which of the following is the correct process to graph the equation $3x - 2y = -10$?

Accepted Answer

Find values for $x$, solve for $y$, and plot the resulting points.

Introduction to Graphing and the Coordinate Plane

Study Guide - Practice Questions