Your "target" is the slope-intercept form which you should
memorize:



You first solve the equation for y


   
Subtract x from both sides:



To get rid of the  multiply every term by 



Simplify:



Swap the terms on the right because you want it to look like y = mx+b



Compare that to 

And you see that 

 and 

"m" is the slope because it determines which way and how much the
line slants.  "b" is the number on the y-axis where the line
crosses the y-axis.

Now I'm going to go further than that, because you're going to have to.

That means the graph of the equation



crosses the y-axis at (0,b) which is (0,6), called
the y-intercept.  We plot that point



We take the numerator of the slope  which is 1.  The slope
is positive so we draw a line 1 unit up from the y-intercept, like this
in green:

 

Now we take the denominator of the slope  which is 4.  We draw 
a line 4 units right from where that green line ended up, like this, also
in green:

 

Next we take a ruler and draw a line through both the y-intercept and the
end of that second green line, like this:

 

That'e the graph of 

Edwin