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
Start Fraction 1 over 8 End Fraction
8
8
−18
negative Start Fraction 1 over 8 End Fraction
1
1
To find the slope of the line, we need to determine the change in y-coordinates divided by the change in x-coordinates.
The coordinates of the two plotted points are: (-4, 7) and (4, 8).
The change in y-coordinates is 8 - 7 = 1.
The change in x-coordinates is 4 - (-4) = 8.
Thus, the slope of the line is 1/8.
To find the slope of the line given its graph, we can use the formula:
slope = (change in y-coordinates) / (change in x-coordinates)
Looking at the graph, we can see that the change in y-coordinates is from 7 to 8, which is an increase of 1. And the change in x-coordinates is from -4 to 4, which is an increase of 8.
So, the slope of the line is:
slope = 1 / 8
Therefore, the correct answer is:
Start Fraction 1 over 8 End Fraction
To find the slope of the line given its graph, we can use the formula for slope, which is equal to the change in y divided by the change in x.
In this case, we have two points: (-4, 7) and (4, 8).
The change in y is 8 - 7 = 1, and the change in x is 4 - (-4) = 8.
Therefore, the slope of the line is 1/8.