Answer:
[tex]y = \frac{1}{3}x + 5[/tex]
Step-by-step explanation:
The slope [tex]m = \frac{1}{3}[/tex] is given. The slope of the line we're looking for is the same since they are parallel.
The y-intercept is:
[tex]y = mx + b\\y = \frac{1}{3}x + b\\4 = \frac{1}{3}(-3) + b\\4 = -1 + b\\5 = b[/tex]
Just substitute [tex]m[/tex] and [tex]b[/tex] to [tex]y = mx + b[/tex] and you will get the answer: [tex]y = \frac{1}{3}x + 5[/tex].
