cz28edmx5a
Answered

Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Join our platform to connect with experts ready to provide precise answers to your questions in different areas. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

Find the slope and y-intercept of the line.

3x-2y=2

write your answers in simplest form.

slope :

y - intercept :

(spammers reported)
will mark the brainliest.

Sagot :

renknee

Answer:

Slope: 3/2

Y-intercept: -1

Step-by-step explanation:

1. To find the slope and y-intercept, it'd be much easier if we convert this line from Standard Form into Slope-Intercept form.

2. (Solving)

Step 1: Subtract 3x from both sides.

  • [tex]3x - 2y - 3x = 2 - 3x[/tex]
  • [tex]-2y = -3x + 2[/tex]  

Step 2: Divide both sides by -2.

  • [tex]\frac{-2y}{-2} = \frac{-3x+2}{-2}[/tex]
  • [tex]y = \frac{3}{2}x - 1[/tex]

3. Now that we have our slope-intercept equation (y=mx+b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept), we can easily find the values of the slope and y-intercept.

4. Since 3/2 is in the place of m, that makes it the slope, and since -1 is in the place of b, that makes it the y-intercept.

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.