Respuesta :

Answer:

y = 1/3 x + 6

Explanation:

The slope of two parallel lines is the same; thereofre the equation of the line we are seeking looks like

[tex]y=\frac{1}{3}x+b[/tex]

where b is a constant hitherto unknown.

Now, we know from point (-3, 5) that when when x = -3, y = 5; therefore,

[tex]5=\frac{1}{3}(-3)+b[/tex]

the above simplifies to

[tex]5=-1+b[/tex][tex]\therefore b=6[/tex]

Hence, the equation of the line is

[tex]y=\frac{1}{3}x+6[/tex]