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
−12
negative Start Fraction 1 over 2 End Fraction
12
Start Fraction 1 over 2 End Fraction
4
4
2
2
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The slope of the line can be found by using the formula:
slope = (change in y)/(change in x)
From the given points, we can see that the change in y is 4 - 0 = 4, and the change in x is 0 - (-8) = 8.
Therefore, the slope of the line is 4/8, which simplifies to 1/2.
So, the correct answer is:
Start Fraction 1 over 2 End Fraction
To find the slope of a line, we can use the formula:
slope = (change in y)/(change in x)
We can observe the coordinates of the two plotted points: (-8, 0) and (0, 4).
The change in y is 4 - 0 = 4.
The change in x is 0 - (-8) = 8.
Therefore, using the slope formula:
slope = (4)/(8) = 1/2
So, the slope of the line is 1/2.
To find the slope of the line given its graph, we can use the formula:
slope = (change in y-coordinate) / (change in x-coordinate)
Looking at the graph, we can see that the two plotted points are (-8, 0) and (0, 4).
The change in y-coordinate is calculated by subtracting the y-values of the two points:
4 - 0 = 4
The change in x-coordinate is calculated by subtracting the x-values of the two points:
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".