#### Answer

The student plugged in the wrong number for the y-intercept. The correct equation is y=4x-2.

#### Work Step by Step

In this equation, the student incorrectly put 6 as the value for b, the y-intercept. The correct way to solve this is to plug in the slope for m and the given point for x and y in the slope-intercept equation. Then, solve for b.
y=mx+b
6=4(2)+b
b+8=6
b=-2
Therefore, the correct equation is
y=4x-2.