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
Start Fraction 1 over 8 End Fraction
−18
negative Start Fraction 1 over 8 End Fraction
1
1
To find the slope of the line given its graph, we need to use the formula for slope which is change in y divided by change in x.
The coordinates of the two plotted points are (-4,7) and (4,8).
Change in y = 8 - 7 = 1
Change in x = 4 - (-4) = 8
Slope = change in y / change in x = 1/8
Therefore, 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)
Therefore, we need to calculate the change in y-coordinates and the change in x-coordinates.
The change in y-coordinates is found by subtracting the y-coordinate of the second point from the y-coordinate of the first point. In this case, we have: 8 - 7 = 1.
The change in x-coordinates is found by subtracting the x-coordinate of the second point from the x-coordinate of the first point. In this case, we have: 4 - (-4) = 8.
Now, we can calculate the slope using the formula:
slope = (change in y-coordinates) / (change in x-coordinates) = 1 / 8.
Therefore, the slope of the line given its graph is 1/8.
To find the slope of a line given its graph, we need to calculate the change in y-values (vertical change) divided by the change in x-values (horizontal change) between two points on the line.
From the given information, we can identify two points on the line: (-4, 7) and (4, 8).
The change in y-values is 8 - 7 = 1, and the change in x-values is 4 - (-4) = 8.
Therefore, the slope of the line is the change in y-values divided by the change in x-values:
slope = (change in y-values) / (change in x-values) = 1 / 8 = 1/8.
So the correct answer is 1.