Use the image to answer the question
10-
9-
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1-
-0-
1,0 -1+
23 -2-
1
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6 7
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10-9
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-7
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45678 -7-
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Find the slope of the line given its graph.
(1 point)
- 1/9
- 4 1/2
6
The slope of the line given its graph is 6.
To find the slope of the line given its graph, we need to identify two points on the line. Let's choose the points (1, 0) and (6, 7) as our reference points.
Step 1: Identify the coordinates of the two points on the line:
Point 1: (1, 0)
Point 2: (6, 7)
Step 2: Calculate the slope using the formula:
Slope = (y2 - y1) / (x2 - x1)
Applying this formula, we get:
Slope = (7 - 0) / (6 - 1)
= 7 / 5
Therefore, the slope of the line is 7/5.
To find the slope of the line given its graph, you need to determine the change in the y-coordinate and the change in the x-coordinate between any two points on the line.
Looking at the given graph, you can see that the line is diagonal and slanting upwards from left to right. The slope of a line represents the rate of change or steepness of the line.
To determine the slope, you can choose any two points on the line. Let's take the points (-3, -2) and (2, 3) as an example.
The change in the y-coordinate is 3 - (-2) = 5, and the change in the x-coordinate is 2 - (-3) = 5.
So, the slope is calculated as the change in y divided by the change in x:
slope = (change in y) / (change in x)
= 5 / 5
= 1
Therefore, the slope of the line is 1.