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
1/2
Start Fraction 1 over 2 End Fraction
−1/2
negative Start Fraction 1 over 2 End Fraction
2
2
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The slope of the line can be found by calculating the change in y-coordinates divided by the change in x-coordinates between the two plotted points.
Change in y-coordinates: 4 - 0 = 4
Change in x-coordinates: 0 - (-8) = 8
Therefore, the slope of the line is 4/8, which simplifies to 1/2.
To find the slope of the line given its graph, we need to use the formula:
slope = (change in y)/(change in x)
Looking at the image, the points plotted are (-8,0) and (0,4). We can calculate the change in y and change in x as follows:
change in y = y2 - y1 = 4 - 0 = 4
change in x = x2 - x1 = 0 - (-8) = 8
Substituting these values into the slope formula:
slope = 4/8 = 1/2
Therefore, the slope of the line is 1/2.
To find the slope of a line given its graph, you need to determine the change in the y-coordinates divided by the change in the x-coordinates between any two points on the line.
In the given information, the two plotted points are (-8, 0) and (0, 4). Let's label them as point A and point B, respectively.
The change in the y-coordinate between point A and point B is 4 - 0 = 4.
The change in the x-coordinate between point A and point B is 0 - (-8) = 8.
Therefore, the slope of the line is the change in the y-coordinates divided by the change in the x-coordinates, which is 4/8 = 1/2.
So, the correct answer is 1/2.