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
To find the slope of a line, we need to determine the change in y-coordinates over the change in x-coordinates.
From the graph, we can see that the line connects the points (-8, 0) and (0, 4).
The change in y-coordinates is 4 - 0 = 4 and the change in x-coordinates is 0 - (-8) = 8.
Therefore, the slope of the line is 4/8 = 1/2.
So, the correct answer is: Start Fraction 1 over 2 End Fraction.
To find the slope of the line given its graph, we can use the formula for slope:
Slope (m) = (change in y-coordinates) / (change in x-coordinates)
From the image and the given coordinates, we can see that the change in y-coordinates is +4 - 0 = +4, and the change in x-coordinates is 0 - (-8) = 8.
Therefore, the slope of the line is:
Slope (m) = (4) / (8) = 1/2
So, the correct answer is "Start Fraction 1 over 2 End Fraction", which means the slope is 1/2.
To find the slope of a line given its graph, we need to use the formula for slope, which is:
slope = (change in y-coordinates) / (change in x-coordinates)
Looking at the given graph, the two plotted points are (-8, 0) and (0, 4).
The change in y-coordinates is 4 - 0 = 4.
The change in x-coordinates is 0 - (-8) = 8.
Now we can calculate the slope using the formula:
slope = (4) / (8) = 1/2
Therefore, the slope of the line is 1/2.