Put the following equation of a line into slope-intercept form, simplifying all fractions. 3x+2y=14

y = -3/2x + 7

Step-by-step 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!