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rusak2 [61]
3 years ago
11

Determine the slope intercept form of the linear equation from its graph.​

Mathematics
1 answer:
Vlad1618 [11]3 years ago
5 0

Given:

The graph of linear function.

To find:

The slope intercept form of the linear equation from the given graph.

Solution:

The slope intercept form of a linear function is:

y=mx+b

From the given graph it is clear that the graph passes through the points (1,300) and (4,800).

The equation of line is

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

y-300=\dfrac{800-300}{4-1}(x-1)

y-300=\dfrac{500}{3}(x-1)

y-300=\dfrac{500}{3}x-\dfrac{500}{3}

Adding 300 on both sides, we get

y=\dfrac{500}{3}x-\dfrac{500}{3}+300

y=\dfrac{500}{3}x+\dfrac{900-500}{3}

y=\dfrac{500}{3}x+\dfrac{400}{3}

Therefore, the required equation is y=\dfrac{500}{3}x+\dfrac{400}{3}.

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