Answer:
5x - 6y = 14
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
given
y - 1 = [tex]\frac{5}{6}[/tex](x - 4)
Multiply through by 6 to eliminate the fraction
6y - 6 = 5(x - 4) ← distribute
6y - 6 = 5x - 20 ( add 20 to both sides )
6y + 14 = 5x ( subtract 6y from both sides )
14 = 5x - 6y , thus
5x - 6y = 14 ← in standard form
