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

Question 1

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

Accepted Answer

Quadrant II

Question 2

What is the slope of the line passing through the points $$(2, 5)$$ and $$(6, 13)$$?

Accepted Answer

$$2$$

Question 3

Given the endpoints $$A(1, 2)$$ and $$B(5, 10)$$, what is the distance between them?

Accepted Answer

$$\sqrt{80}$$

Question 4

What is the midpoint of the segment with endpoints $$(3, -2)$$ and $$(7, 6)$$?

Accepted Answer

$$(5, 2)$$

Question 5

Which equation represents a vertical line passing through $$x = -4$$?

Accepted Answer

$$x = -4$$

Question 6

A horizontal line passes through the point $$(2, 5). $$What is its equation?

Accepted Answer

$$y = 5$$

Question 7

If the midpoint of a segment is $$(4, 7)$$ and one endpoint is $$(2, 3)$$, what are the coordinates of the other endpoint?

Accepted Answer

$$(6, 11)$$

Question 8

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

Accepted Answer

$$Ax + By = C$$

Question 9

A city plans to build a walking path between two parks located at $$(1, 2)$$ and $$(7, 8). $$What is the length of the path?

Accepted Answer

$$\sqrt{72}$$

Question 10

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

Accepted Answer

Zero

Question 11

Given the line $$y = 3x - 2$$, what is the $$y-$$intercept?

Accepted Answer

$$-2$$

Question 12

A biologist tracks two animals at $$(2, 3)$$ and $$(8, 15). $$What is the midpoint of their locations?

Accepted Answer

$$(5, 9)$$

Question 13

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 14

A line passes through $$(0, 4)$$ and $$(2, 10). $$What is its slope?

Accepted Answer

$$6$$

Question 15

Which of the following points is in Quadrant IV?

Accepted Answer

$$(3, -7)$$

Question 16

If a line has the equation $$y = -rac{1}{2}x + 3$$, what is its slope?

Accepted Answer

$$-rac{1}{2}$$

Question 17

A surveyor needs to find the midpoint between two boundary markers at $$(4, 8)$$ and $$(10, 2). $$What is the midpoint?

Accepted Answer

$$(7, 5)$$

Question 18

Which of the following is the slope-intercept form of a line?

Accepted Answer

$$y = mx + b$$

Question 19

A road runs from $$(2, 3) to$$ $$(6, 11). $$What is the length of the road?

Accepted Answer

$$\sqrt{80}$$

Question 20

If the midpoint of a segment is $$(0, 0)$$ and one endpoint is $$(5, -3)$$, what is the other endpoint?

Accepted Answer

$$(-5, 3)$$

Rectangular Coordinates, Distance and Midpoint Formulas, and Graphing Lines – College Algebra Study Notes

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