We have the following:
We know that the formula for the equation in the form of slope and intercept with the y-axis is the following
[tex]y=mx+b[/tex]
m is the slope and b is y-intercept
solving for y:
[tex]\begin{gathered} 4x=y-3 \\ y=4x+3 \\ b=3 \\ m=4 \end{gathered}[/tex]
As it is a positive slope, the line increases and also the intercept with the y-axis is equal to 3, therefore the answer is the graph of the option B
