write the equation of the line with the givin slope and y-intercept form GET 10 POINTS

Answer:
The answer is
[tex]y = \frac{1}{3} x - 1[/tex]
Step-by-step explanation:
Let The equation is
[tex]y = mx + c[/tex]
Since the straight line intersects with Y axis at - 1
Then x equal to zero
Since m=1/3
Then
[tex]y = \frac{1}{3} x + c \\ when \: y = - \: \: and \: x = 0 \\ then \: c = - 1 \\ y = \frac{1}{3} x - 1[/tex]