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eimsori [14]
3 years ago
13

The table shows a linear function.

Mathematics
1 answer:
sergejj [24]3 years ago
7 0

Answer:

\large\boxed{y=\dfrac{5}{3}x+9}

Step-by-step explanation:

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

y=mx+b

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept → (0, b)</em>

The formula of a slope:

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

From the table we have an y-intercept (0, 9) → b = 9.

Take other point from the table (-6, -1).

Calculate the slope:

m=\dfrac{-1-9}{-6-0}=\dfrac{-10}{-6}=\dfrac{5}{3}

Finally:

y=\dfrac{5}{3}x+9

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