Review of the Coordinate Plane & Slope Quick Check
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Question
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)
To find the slope of the line given its graph, we can use the formula for slope: m = (y2 - y1) / (x2 - x1).
The coordinates of the two plotted points are (-4, 7) and (4, 8).
Plugging these values into the formula, we get:
m = (8 - 7) / (4 - (-4))
m = 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 for slope:
slope = (change in y-coordinates) / (change in x-coordinates)
In this case, we can choose any two points on the line to calculate the slope. Let's choose the points (-4, 7) and (4, 8) as given in the question.
The change in y-coordinates is: 8 - 7 = 1
The change in x-coordinates is: 4 - (-4) = 8
Using the formula for slope:
slope = (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 slope formula:
slope = (change in y)/(change in x)
Looking at the two plotted points on the graph, we have:
Point 1: (-4, 7)
Point 2: (4, 8)
To find the change in y, we subtract the y-coordinate of Point 1 from the y-coordinate of Point 2:
change in y = 8 - 7 = 1
To find the change in x, we subtract the x-coordinate of Point 1 from the x-coordinate of Point 2:
change in x = 4 - (-4) = 4 + 4 = 8
Now we can plug in the values into the slope formula:
slope = change in y / change in x = 1 / 8
Therefore, the slope of the line given its graph is 1/8.