97.3k views
2 votes
Put the following equation of a line into slope-intercept form, simplifying all fractions.

3x+2y=14

User Cvk
by
8.1k points

1 Answer

3 votes

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!

User Dimitarvp
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories