Explanation:
3y-x-5=0
3y=x+5
y=(x+5)/3
y= (1/3)*x + (5/3)
The general equation of y is:
y=mx+b
where:
slope=m
b= y intercept
so, slope is (1/3) and y intercept is (5/3)
and x intercept=0, when you star to graphic you can see that the only option for have y=(5/3) is necessary that the value of x=0. Or:
y intercept= (1/3)*x +(5/3) =(5/3)
(5/3)-(5/3)=(1/3)x
0=(1/3)*x
0/(1/3)=x
x=0.