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
