Show all the steps of writing the equation 2y=6x+2 in slope-intercept form.

Answer 1

1. Start with the given equation: 2y = 6x + 2

2. Divide both sides of the equation by 2 to solve for y:
y = 3x + 1

3. Now, rearrange the equation so that it is in the form y = mx + b, where m is the slope and b is the y-intercept:
y = 3x + 1

Therefore, the equation 2y = 6x + 2 in slope-intercept form is y = 3x + 1.