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adelina 88 [10]
2 years ago
7

Find the equation of the linear function represented by the table below in slope-

Mathematics
1 answer:
Eva8 [605]2 years ago
4 0

Answer:

f(x) = 5x - 5

Step-by-step explanation:

Let the equation of the linear function is,

f(x) = mx + b

Here, m = Slope of the graph

b = y-intercept

Slope of the line passing through (x_1,y_1) and (x_2,y_2) is given by,

m = \frac{(y_2-y_1)}{(x_2-x_1)}

From the table attached,

Slope of the line passing through (2, 5) and (6, 25) will be,

m = \frac{25-5}{6-2}

m = 5

Equation of the linear function will be,

f(x) = 5x + b

Since, a point (10, 45) lies on the function,

45 = 5(10) + b

b = 45 - 50

b = -5

Equation of the linear function will be,

f(x) = 5x - 5

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