Respuesta :

Stephen46

Answer:

The answer is

[tex]y = 2x + 2[/tex]

Step-by-step explanation:

To find an equation of a line given a slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the gradient

( x1 , y1) is the point

From the question

Gradient = 2

The point is ( 1 , 4)

The equation is

[tex]y - 4 = 2(x - 1) \\ y - 4 = 2x - 2 \\ y = 2x - 2 + 4 \: \: [/tex]

We have the final answer as

[tex]y = 2x + 2[/tex]

Hope this helps you

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