Respuesta :

Answer:

y = 4x

Step-by-step explanation:

Using two points, (1, 4) and (2, 8),

Slope = [tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{8 - 4}{2 - 1} = \frac{4}{1} = 4 [/tex]

m = 4

Substitute m = 4, x = 1, and y = 4 into y = mx + b.

Thus:

4 = (4)(1) + b

4 = 4 + b

4 - 4 = b

0 = b

b = 0

To find the equation, substitute m = 4 and b = 0 into y = mx + b

Thus:

y = (4)(x) + 0

y = 4x

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