Given:
The point is (-2,3).
The parallel line is y=4x+2.
This is of the form
where slope m=4.
We know that the slope of the parallel lines is equal.
Thus we get the slope m =4 for the required line.
Consider the line equaiton
Substitute x= -2,y=3, and m =4 in the equation to find the value of b.
Adding 8 on both sides of the equation, we get
We get b=11.
Substitute m=4 and b=11 in the equation, we get
Hence the line equation that passes through the point (-2,3) and parallel to y=4x+2 is