Answer:
The answer is
![y = 2x + 2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/pehoewz36tu6yip02fcdfv2oqvltqnaajz.png)
Explanation:
To find an equation of a line given a slope and a point we use the formula
![y - y_1 = m(x - x_1)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/114ibzuj57ml08mu59z59vjg3t4kik0hxk.png)
where
m is the gradient
( x1 , y1) is the point
From the question
Gradient = 2
The point is ( 1 , 4)
The equation is
![y - 4 = 2(x - 1) \\ y - 4 = 2x - 2 \\ y = 2x - 2 + 4 \: \:](https://img.qammunity.org/2021/formulas/mathematics/high-school/qhzda3y59l3ccwpgg71duor9sgu3gfgpzj.png)
We have the final answer as
![y = 2x + 2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/pehoewz36tu6yip02fcdfv2oqvltqnaajz.png)
Hope this helps you