Rewrite the equation Ax+By=C form. Use integers for A, B, and C. y–1=2(x–4)

Should be 2x -y = -7

explanation:

y - 1 = 2(x-4)

Start by distributing the 2 into the parenthesis.

Now you should have y - 1= 2x - 8. (watch your signs when multiplying by a negative).

Your problem wants the form Ax + By = C. So, we need to get all of the variables (letters) on one side and constants (numbers without letters) on the other.

Add 1 from both sides to remove it from the left side of the equation -

y - 1 +1 = 2x - 8 + 1

Doing the math, we get y = 2x - 7

Now we need to get rid of the x on the right side of the equation, so let's subtract
2x to both sides.

y - 2x = 2x - 2x - 7.

y -2x = -7.

Now, you just have to rearrange the left side terms and it will be in the order asked for.

2x - y = -7

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