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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