Answer:
The correct equation in slope-intercept form is:
y= 6x+14
Explanation:
Given the equation
y-2=6(x+2)
y-2 = 6x+12
Adding 2 to both sides
y-2+2=6x+12+2
y= 6x+14
Thus, the correct equation in slope-intercept form is:
y= 6x+14
1) WHAT WAS YOUR MISTAKE
In the 2nd step, you had added 4 to the right-hand side of the equation instead of 2. The reason is that both sides should have been added by 2. But, you mistakenly added 4 to the right-hand side of the equation instead of 2.
2) SUGGESTION TO AVOID MISTAKE
You must make sure not to disturb the balance of two sides of the equation, meaning whatever the operation (add/subtract, multiply or divide) you do, you make sure to do the same operation on both sides of the equation.