No graph has been provided, but I've provided the graph shown below. Recall that the slope intercept form of the equation of a line is given by:
[tex]y=mx+b \\ \\ \\ Where: \\ \\ m:slope \\ \\ b:y-intercept[/tex]
First of all, the y-intercept of this graph lies on the point:
[tex](0,1)[/tex]
So our correct option could be either B) or C) because the y-intercept in those cases lies also on the point [tex](0,1)[/tex]. If you lies on this point and walk 1 units horizontally, then the y-coordinate runs 3 units up until it gets point [tex](1,4)[/tex]. Therefore, the slope of this line is [tex]m=3[/tex]
In conclusion, this graph is represented by the equation:
B) y = 3x + 1
