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write y-1=2(x-3/2)in slope-intercept form

Sagot :

So, in order to answer this question you need to isolate Y and distribute the 2 into the parenthesis. This is how you get Y= 2x-2
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Here's a more plain-text friendly version:

To convert the equation y - 1 = 2(x - 3/2) into slope-intercept form y = mx + b, follow these steps:

1. **Distribute the 2 on the right-hand side:**

  y - 1 = 2(x - 3/2)

  y - 1 = 2x - 2*(3/2)

  y - 1 = 2x - 3

2. **Isolate y by adding 1 to both sides:**

  y - 1 + 1 = 2x - 3 + 1

  y = 2x - 2

Now the equation is in slope-intercept form y = mx + b, where the slope m is 2 and the y-intercept b is -2.

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