Question 1

Which axis is labeled as $$y in $$the provided coordinate grid?

Accepted Answer

The vertical axis

Question 2

Which axis is labeled as $$x in $$the provided coordinate grid?

Accepted Answer

The horizontal axis

Question 3

Given the points $$A$$ and $$B on $$the grid, if $$A is at$$ $$(-3, 2)$$ and $$B is at$$ $$(4, 3)$$, what is the slope $$m of $$the line passing through $$A$$ and $$B$$?

Accepted Answer

$$m = \dfrac{1}{7}$$

Question 4

If point $$C is at$$ $$(-4, -2)$$ and point $$D is at$$ $$(1, 2)$$, what is the distance between $$C$$ and $$D$$?

Accepted Answer

$$\sqrt{41}$$

Question 5

Which of the following best describes the origin on a coordinate grid?

Accepted Answer

The point where $$x = 0$$ and $$y = 0$$

Question 6

If a point is located at $$(0, 5)$$, on which axis does it lie?

Accepted Answer

On the $$y-$$axis

Question 7

Which quadrant is the point $$(-2, 3)$$ located in?

Accepted Answer

Quadrant II

Question 8

A student plots the point $$(4, -3) on $$the grid. In which quadrant does this point lie?

Accepted Answer

Quadrant IV

Question 9

What is the equation of the $$x-$$axis on a coordinate grid?

Accepted Answer

$$y = 0$$

Question 10

If a line passes through the points $$(0, 0)$$ and $$(2, 4)$$, what is its slope?

Accepted Answer

$$2$$

Question 11

Which of the following points lies on the $$y-$$axis?

Accepted Answer

$$(0, -3)$$

Question 12

If a point is at $$(-5, 0)$$, what is its location relative to the axes?

Accepted Answer

It is on the $$x-$$axis

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 real-world scenario: A drone starts at the origin $$(0, 0)$$ and flies to the point $$(6, 8). $$What is the straight-line distance the drone travels?

Accepted Answer

$$10$$

Question 15

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

Accepted Answer

$$2$$

Question 16

Which of the following points is in Quadrant III?

Accepted Answer

$$(-2, -5)$$

Question 17

If a line passes through $$(1, 2)$$ and $$(3, 6)$$, what is its slope?

Accepted Answer

$$2$$

Question 18

A city map uses a coordinate grid where each unit represents 1 mile. If a hospital is at $$(2, 3)$$ and a fire station is at $$(5, 7)$$, what is the distance between them?

Accepted Answer

$$5$$

Question 19

Which equation represents a vertical line passing through $$x = -3$$?

Accepted Answer

$$x = -3$$

Introduction to the Cartesian Coordinate System and Plotting Points

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