Given the point-slope form, y + 1 = 4(x - 6):
In order to transform the given equation into its standard form, Ax + By = C where A and B ≠0, and A is non-negative:
Distribute 4 into the parenthesis:
y + 1 = 4(x - 6)
y + 1 = 4x - 24
Subtract 1 from both sides:
y + 1 - 1 = 4x - 24 - 1
y = 4x - 25
Next, subtract 4x from both sides:
-4x + y = 4x - 4x - 25
- 4x + y = -25
Finally, divide both sides by -1 to make the coefficient of x positive:
(-4x + y ) / ( -1) = (-25) / ( -1)
The standard form is: 4x - y = 25
