We are given a point and the slope, so we use the point slope form
for an equation of a line:



where we substitute the given slope for m and the given point for (x11).  
[We do not substitute for x and y, but leave them variable.]



Distribute the 4/3:



Add 5 to both sides



Now it's in the slope-y-intercept form where the slope is 4/3 and the
y-intercept is 1

We'll check the choices:

That's wrong because the y-intercept is 1, not 4.

That's true because that's what we got.  So we have the answer. 
But let's see why the others are false anyway.

That's wrong because that has the x1 and y1 switched.

Let's substitute that and see why it's false:






That's certainly false.

Edwin