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netineya [11]
3 years ago
13

Here's a graph of a linear function. Write the

Mathematics
1 answer:
Natalija [7]3 years ago
7 0

Answer:

\large\boxed{y=\dfrac{1}{4}x+3}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept → (0, b)

From the graph we have the points (4, 4) and (0, 3) → b = 3.

We have the equation:

y=mx+3

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

Put the coordinates of the points:

m=\dfrac{3-4}{0-4}=\dfrac{-1}{-4}=\dfrac{1}{4}

Finally we have:

y=\dfrac{1}{4}x+3

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