Respuesta :

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