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.