Answer:
y = - [tex]\frac{3}{5}[/tex] x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c
Given
[tex]\frac{5}{3}[/tex] y = - (x - 5) ← distribute parenthesis
[tex]\frac{5}{3}[/tex] y = - x + 5 ( multiply through by 3 to clear the fraction )
5y = - 3x + 15 ( divide terms by 5 )
y = - [tex]\frac{3}{5}[/tex] x + 3 ← in slope- intercept form