Hello from MrBillDoesMath!
Answer:
-5x + y = -7
Discussion:
The standard form of a line looks like this: Ax + By = C
y - 3 = 5(x-2) => 5(x-2) = 5x -10
y -3 = 5x - 10 => add 3 to both sides
y -3 + 3 = 5x - 10 + 3 => as =3 + 3 = 0 and -10 + 3 = -7
y = 5x - 7 => subtract 5x form both sides
y -5x = -7 => rearrange terms
-5x + y = -7
This is Standard from with A = -5, B = 1 and C = -7
Thank you,
MrB