Answer:
5x - y = 21
Step-by-step explanation:
Given the linear equation in point-slope form, y + 6 = 5(x - 3):
In order to transform the given equation into its standard form, Ax + By = C, start by distributing 5 into the parenthesis:
y + 6 = 5(x - 3)
y + 6 = 5x - 15
Subtract 5x from both sides:
- 5x + y + 6 = 5x - 5x - 15
- 5x + y + 6 = - 15
Subtract 6 from both sides:
- 5x + y + 6 - 6 = - 15 - 6
- 5x + y = - 21
Divide both sides by -1:
[tex]\frac{-5x + y}{-1} = \frac{-21}{-1}[/tex]
5x - y = 21
