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
2
2
4
4
−12
negative Start Fraction 1 over 2 End Fraction
12
Start Fraction 1 over 2 End Fraction
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To find the slope of the line, we can use the formula:
m = (y2 - y1) / (x2 - x1)
In this case, the coordinates of the first point are (-8, 0) and the coordinates of the second point are (0, 4).
Plugging these values into the formula, we get:
m = (4 - 0) / (0 - (-8))
m = 4 / 8
m = 1/2
Therefore, the slope of the line is 1/2.
To find the slope of the line, we can use the formula:
slope = (change in y) / (change in x)
Looking at the graph, we can see that the y-coordinate of the first point is 0, and the y-coordinate of the second point is 4. The x-coordinate of the first point is -8, and the x-coordinate of the second point is 0.
So, the change in y is 4 - 0 = 4, and the change in x is 0 - (-8) = 8.
Therefore, the slope of the line is:
slope = (4) / (8) = 1/2
So, the correct answer is: Start Fraction 1 over 2 End Fraction.
To find the slope of a line given its graph, you can use the formula:
slope = (change in y-coordinates) / (change in x-coordinates)
In this case, let's identify the two plotted points on the line:
Point A: (-8, 0)
Point B: (0, 4)
Now, let's calculate the change in y-coordinates and the change in x-coordinates:
Change in y-coordinates: y-coordinate of Point B - y-coordinate of Point A = 4 - 0 = 4
Change in x-coordinates: x-coordinate of Point B - x-coordinate of Point A = 0 - (-8) = 8
Now, substitute these values into the slope formula:
slope = 4 / 8 = 1/2
Therefore, the slope of the line given its graph is 1/2.
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
8
8
−18
negative Start Fraction 1 over 8 End Fraction
18
Start Fraction 1 over 8 End Fraction
1
1
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page 16 of 16
To find the slope of the line, we can use the formula:
slope = (y2 - y1) / (x2 - x1)
In this case, the coordinates of the first point are (-4, 7) and the coordinates of the second point are (4, 8).
Plugging these values into the formula, we get:
slope = (8 - 7) / (4 - (-4))
slope = 1 / 8
Therefore, the slope of the line is 1/8.