Questions: y 8 6 4 2 x -6 -4 -3 -2 -1 1 2 3 4 5 -2 -4 -6 -8

y
8
6
4
2
x
-6 -4 -3 -2 -1 1 2 3 4 5
-2
-4
-6
-8
Transcript text: y 8 6 4 2 x -6 -4 -3 -2 -1 1 2 3 4 5 -2 -4 -6 -8
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Solution

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Solution Steps

Step 1: Identify the Slope of the Line

The slope of a line is calculated as the change in y divided by the change in x (rise over run). From the graph, we can see that the line passes through the points (-5, 1) and (5, 5).

Step 2: Calculate the Slope

Using the points (-5, 1) and (5, 5): \[ \text{slope} = \frac{5 - 1}{5 - (-5)} = \frac{4}{10} = \frac{2}{5} \]

Step 3: Determine the y-Intercept

The y-intercept is the point where the line crosses the y-axis. From the graph, the line crosses the y-axis at y = 3.

Final Answer

The equation of the line in slope-intercept form (y = mx + b) is: \[ y = \frac{2}{5}x + 3 \]

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