The slope of the line y = 4x + 1 is 4 because is the number beside the x.
Then, the equation of a line through (1,2) needs to have the same slope.
So, we can calculate the equation using the following equation:
[tex]y-y_1=m(x-x_1)[/tex]Where m is the slope and (x1, y1) is a point in the line.
Replacing m by 4 and (x1, y1) by (1, 2), we get:
[tex]\begin{gathered} y-2=4(x-1) \\ y-2=4x-4 \\ y-2+2=4x-4+2 \\ y=4x-2 \end{gathered}[/tex]Answer: y = 4x - 2
