ANSWER
![y = 4x - 2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/oogx1g7j2nzdtwfvol7bpuvvftdpno329z.png)
Step-by-step explanation
The equation of a straight line can be found using the formula
![y =mx + b](https://img.qammunity.org/2020/formulas/mathematics/middle-school/xxl53dxwbr9d0brtd1t0tzjir8wjrtky0w.png)
We have that,the y-value increases by 4 for every x that increases by 1.
This implies that, the slope is
![m = (4)/(1) = 4](https://img.qammunity.org/2020/formulas/mathematics/middle-school/v2e0uy7cuusvgqzhhao2sd0oinrab16sub.png)
The line also crosses the y-axis at –2.
Hence the y-intercept is b=-2.
Therefore the equation is
![y = 4x - 2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/oogx1g7j2nzdtwfvol7bpuvvftdpno329z.png)
The correct answer is A