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30 votes
30 votes
Can someone explain to me how I would convert y-5=3/2(x+4) to standard form?

User Milind Ganjoo
by
2.9k points

1 Answer

7 votes
7 votes

Answer:

-3/2x + y = 11

Explanation:

Standard Form of an equation is written typically like this: Ax + By = C

If that's the case, we have to get all the x's and y's to the same side.

Here's how I do it:

y - 5 = 3/2(x + 4) Distribute the 3/2 to the terms in the parenthesis.

y - 5 = 3/2x + 6 Subtract 3/2x from both sides

y - 5 - 3/2x = 6 Add 5 to both sides

y - 3/2x = 6 + 5 Rearranging and simplifying terms.

Ax + By = C --> -3/2x + (1)y = 11

User Sameer Azazi
by
2.7k points
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