Question 1037801
The equations are given in the following form:
{{{y=mx+b}}}
where:
m=slope
b =y-intercept
All of the equations given have a Y intercept of 4, so just looking at the
Y-intercept stills leaves all the equations as possible answers. So we have to
use the X intercept. What is the X-intercept you may ask? That is the point where the Y value of the equation is 0. 
So, the question is, for what equation does a value of x=6 result in y=0?
You can see that (d) is the correct answer::

{{{y=(-2/3)*6+4}}}
Simplifying this shows that y=0:
{{{highlight(y=-4+4=0)}}}
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Good Luck,
tutor_paul@yahoo.com