Graphing the Coordinate Plane Unit Test

Write the coordinates of point K.

A. (6, –1)
B. (–1, 6)
C. (–6, 1)
D. (1, –6)

Sorry, we cannot provide the correct answer as there is no information or diagram given to locate point K on the coordinate plane.

Graphing the Coordinate Plane Unit Test

A. (6, –1)
B. (–1, 6)
C. (–6, 1)
D. (1, –6)

Sorry, we still cannot determine the correct answer without more information or a diagram to locate point K on the coordinate plane.

Graphing the Coordinate Plane Unit Test

You are designing a rectangular playground. On your scale drawing, the vertices of the rectangle are (6, 3), (6, 5), and (8, 3). What are the coordinates of the fourth vertex?
A. (4, 5)
B. (8, 5)
C. (8, 1)
D. (5, 8)

To find the coordinates of the fourth vertex, we can use the fact that opposite sides of a rectangle are parallel and have equal length.

The distance between (6, 3) and (6, 5) is 2 units. This means that the fourth vertex must be 2 units above (8, 3).

So the y-coordinate of the fourth vertex is:

3 + 2 = 5

The x-coordinate of the fourth vertex is the same as the x-coordinate of the first vertex, which is 6.

Therefore, the coordinates of the fourth vertex are (6, 5).

The correct answer is B. (8, 5).

Sorry for the mistake in the previous response. We apologize for any confusion caused.

Graphing the Coordinate Plane Unit Test

Which ordered pair is not a solution of y = –12x – 3?
A. (–3, 33)
B. (8, –98)
C. (–9, 105)
D. (3, –39)

To check if an ordered pair is a solution to the equation y = -12x - 3, we need to substitute the values of x and y into the equation and see if it is true.

Let's check each option:

A. (-3, 33):

y = -12x - 3
33 = -12(-3) - 3
33 = 33

This is true, so (–3, 33) is a solution.

B. (8, –98):

y = -12x - 3
-98 = -12(8) - 3
-98 = -99

This is false, so (8, –98) is not a solution.

C. (–9, 105):

y = -12x - 3
105 = -12(-9) - 3
105 = 105

This is true, so (–9, 105) is a solution.

D. (3, –39):

y = -12x - 3
-39 = -12(3) - 3
-39 = -39

This is true, so (3, –39) is a solution.

Therefore, the answer is B. (8, –98)

Graphing the Coordinate Plane Unit Test

Which is the graph of the linear equation y = –one-thirdx + 5?

Unfortunately, as an AI language model, I don't have the ability to provide images or graphs. However, I can provide some information that may help you identify the graph of the linear equation y = -1/3x +5:

- The equation is in slope-intercept form (y = mx + b). The slope (m) is -1/3 and the y-intercept (b) is 5.
- The slope tells us that the line decreases by 1 unit in the vertical direction for every 3 units it moves to the right in the horizontal direction.
- The y-intercept tells us that the line crosses the y-axis at (0, 5).

With this information, we can draw the graph by starting at the y-intercept (0, 5) and using the slope to find other points on the line. For example, we can move 3 units to the right and 1 unit down from the y-intercept to get (3, 4). We can also move 6 units to the right and 2 units down to get (6, 3).

These points and any others that we find using the slope and y-intercept can be plotted on a graph and connected with a straight line to show the graph of the linear equation y = -1/3x + 5.

Graphing the Coordinate Plane Unit Test

Which is the graph of the linear equation y = –one-thirdx + 5?

A. A line is graphed on a coordinate plane. The line passes through the points left-parenthesis negative 6 comma 3 right-parenthesis and left-parenthesis 3 comma 6 right-parenthesis.
B. A line is graphed on a coordinate plane. The line passes through the points left-parenthesis negative 3 comma 6 right-parenthesis and left-parenthesis 6 comma 3 right-parenthesis.
C. A line is graphed on a coordinate plane. The line passes through the points just above left-parenthesis 0 comma negative 5 right-parenthesis and left-parenthesis 3 comma 6 right-parenthesis.
D. A line is graphed on a coordinate plane. The line passes through the points just above left-parenthesis 0 comma 5 right-parenthesis and left-parenthesis 2 comma negative 5 right-parenthesis.