Question 1

Which quadrant does the point $$(-4, 2)$$ 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

$$y = 6$$

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 with endpoints $$(-4, -2)$$ 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

$$-12$$

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 of the following is the correct formula for 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 are the center and radius of the circle?

Accepted Answer

Center $$(-3, 2)$$, radius $$4$$

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 is the length of the diameter?

Accepted Answer

$$6$$

Question 13

Which of the following points lies on the graph of $$3x - 2y = -10$$?

Accepted Answer

$$(0, 5)$$

Question 14

What is the equation of the circle with diameter endpoints at $$(4, 6)$$ and $$(-1, -12)$$?

Accepted Answer

$$(x - 1.5)^2$ + (y + 3)^2$ = 90.25$$

Question 15

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

Accepted Answer

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

Introduction to Graphing and the Coordinate Plane

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