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Writing slope intercept form given graph

Writing slope intercept form given graph-example-1

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Answer: y = -1/5x + 10

Explanation:

1. Slope intercept-form formula

y = mx + b

Where m is the slope and b is the y-intercept.

2. Find the y-intercept

The y-intercept occurs when the x-value is equal to 0. When we look at the graph when the x equals 0, y equals 10. Therefore your y-intercept is 10.

3. Find the slope

In order to find the slope use the formula: (y2-y1) / (x2-x1)

Plug in the points that you would use:

(8 - 10) / (10 - 0) = -2 / 10 = -1/5

4. Substitute the values into the slope intercept equation

y = -1/5x + 10

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