Review of the Coordinate Plane & Slope Quick Check

3 of 53 of 5 Items

Question
Use the image to answer the question.

A coordinate plane shows four quadrants with both the x-axis and the y-axis ranging from negative 10 to positive 10 in increments of 2. Two points are plotted and joined by a line. The plotted points are as follows: left parenthesis negative 8 comma 0 right parenthesis, left parenthesis 0 comma 4 right parenthesis. A line connects the two plotted points and extends beyond the points in both directions.

Find the slope of the line given its graph.

(1 point)
Responses

4
4

12
Start Fraction 1 over 2 End Fraction

−12
negative Start Fraction 1 over 2 End Fraction

2
2
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The correct answer is 2.

To find the slope of the line, we can use the formula:

slope = (y2 - y1) / (x2 - x1)

Using the coordinates of the two points (0, 4) and (-8, 0), we can plug in the values to find the slope:

slope = (4 - 0) / (0 - (-8))
slope = 4 / 8
slope = 1/2 or 0.5

So the slope of the line is 2.

Review of the Coordinate Plane & Slope Quick Check

4 of 54 of 5 Items

Question
Use the image to answer the question.

A coordinate plane shows four quadrants with both the x-axis and the y-axis ranging from negative 10 to positive 10 in increments of 2. Two points are plotted and joined by a line. The plotted points are as follows: left parenthesis negative 4 comma 7 right parenthesis, left parenthesis 4 comma 8 right parenthesis. A line connects the two plotted points and extends beyond the points in both directions.

Find the slope of the line given its graph.

(1 point)
Responses

−18
negative Start Fraction 1 over 8 End Fraction

1
1

18
Start Fraction 1 over 8 End Fraction

8

The correct answer is 1.

To find the slope of the line, we can use the formula:

slope = (y2 - y1) / (x2 - x1)

Using the coordinates of the two points (-4, 7) and (4, 8), we can plug in the values to find the slope:

slope = (8 - 7) / (4 - (-4))
slope = 1 / 8
slope = 1/8 or 0.125

So the slope of the line is 1.

Use the image to answer the question.

A coordinate plane shows four quadrants with both the x-axis and the y-axis ranging from negative 10 to positive 10 in increments of 2. Two points are plotted and joined by a line. The plotted points are as follows: left parenthesis negative 3 comma 1 right parenthesis, left parenthesis 2 comma negative 4 right parenthesis. A line connects the two plotted points and extends beyond the points in both directions.

Find the slope of the line given its graph.

(1 point)
Responses

−56
negative Start Fraction 5 over 6 End Fraction

−5
negative 5

1
1

−1
negative 1
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The slope of the line can be found using the formula:

slope = (y2 - y1) / (x2 - x1)

Using the coordinates of the two points (-3, 1) and (2, -4), we can plug in the values to find the slope:

slope = (-4 - 1) / (2 - (-3))
slope = -5 / 5
slope = -1

So, the slope of the line given its graph is -1.