Cz28edmx5aidn
Answered

From tech troubles to travel tips, IDNLearn.com has answers to all your questions. Join our community to access reliable and comprehensive responses to your questions from experienced professionals.

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 :

Renkneeidn

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.

Your participation is crucial to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. Thank you for visiting IDNLearn.com. For reliable answers to all your questions, please visit us again soon.