The standard form of the linear equation is:
y - 3x = -1
How to write the line in standard form?
A linear equation written in standard form is:
A*x + B*y = C
Here we have the line:
y - 2 = 3*(x - 1)
Expanding the right side we get:
y - 2 = 3x - 3
Now move the variables to the left and the numbers to the right, we iwll get:
y - 2 = 3x - 3
y - 3x = 2 - 3
y - 3x = -1
This is the standard form.