Answer:
[tex]y= \frac{1}{3} x-1[/tex]
Step-by-step explanation:
Notice that they are giving to you not only the slope of the line, but its y-intercept, so we can use the "slope y-intercept" form of a line to give the answer.
Recall that the slope (m) y-intercept (b) expression of a line on the x-y plane is given by:
[tex]y=mx+b[/tex] where "m" is the slope, and "b" the y-intercept"
In our case m = 1/3 , and the y-intercept is "-1", since the point (0,-1) corresponds to y = -1 when the x-value is "0".
The equation of the line then becomes:
[tex]y=mx+b\\y=\frac{1}{3} x+(-1)\\y= \frac{1}{3} x-1[/tex]
