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 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)
The slope of a line can be calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.
In this case, the coordinates of the first point are (-8, 0) and the coordinates of the second point are (0, 4).
Using the formula, we can calculate the slope as follows:
m = (4 - 0) / (0 - (-8))
= 4 / 8
= 1/2
Therefore, the slope of the line is 1/2.
To find the slope of the line given its graph, we can use the formula:
slope = (change in y-values) / (change in x-values)
Let's find the change in y-values and change in x-values:
Change in y-values = y2 - y1
= 4 - 0
= 4
Change in x-values = x2 - x1
= 0 - (-8)
= 8
Now, we can calculate the slope:
slope = (change in y-values) / (change in x-values)
= 4 / 8
= 1/2
Therefore, the slope of the line is 1/2.
To find the slope of a line given its graph, you can use the formula:
slope = (change in y) / (change in x)
In this case, the two points plotted are (-8, 0) and (0, 4).
To find the change in y, subtract the y-coordinates of the two points:
4 - 0 = 4
To find the change in x, subtract the x-coordinates of the two points:
0 - (-8) = 8
Now, substitute the values into the slope formula:
slope = 4 / 8 = 1/2
Therefore, the slope of the line given its graph is 1/2.