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Find the slope and y-intercept of the line.

3x-2y=2

write your answers in simplest form.

slope :

y - intercept :

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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.

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