Answer:
The y-intercept is 0
The equation is y=3x
Step-by-step explanation:
we know that
The equation of the line into slope intercept form is equal to
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-coordinate of the y-intercept
Remember that the y-intercept is the value of y when the value of x is equal to zero
Observing the table
For x=0, y=0
therefore
b=0
Find the slope between the points (0,0) and (1,3)
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
substitute
[tex]m=\frac{3-0}{1-0}[/tex]
[tex]m=3[/tex]
the equation is equal to
[tex]y=3x+0[/tex]
[tex]y=3x[/tex]
