Equation of the line in standard form.
Given the equation of a line, it can be expressed in the so-called standard form as follows:
Ax + By = C
We are given the equation:
y + 3 = 2(x - 4)
Operating:
y + 3 = 2x - 8
Subtracting 2x:
y + 3 - 2x = - 8
Subtracting 3:
y - 2x = - 8 - 3
y - 2x = -11
Rearranging, we have the required equation of the line:
-2x + y = -11
This is the standard form of the equation where A=-2, B=1, and C=-11