Answer:
y = -3/2x + 7
Explanation:
First, let's identify what slope-intercept form is: y = mx + b
We have:
3x + 2y = 14
Right away, we can see that we need to 1) move x to the right side of the equation and 2) simplify y.
1) To move x to the right side of the equation, subtract 3x from both sides.
2y = -3x + 14
2) To simplify y, divide both sides by 2. When dividing the right side by 2, you need to evaluate each component (3x and 14, not just one)
y = -3/2x + 7
This is your equation in slope-intercept form.
Hope this helps!