Which of the following graphs represent the equation y-4=3(x-1)

Y-4=3x-3

y=3x+1

Now we don't have the picture but all points must satisfy the y found above.

Of particular note are the x and y intercepts which will be easy to see.

The y intercept is when x=0, so the point (0,1) should be easy to see.  When the line crosses the y axis, y will equal 1.

The x intercept is when y=0, so the point (-1/3, 0) will be where the line crosses the x axis.

These two points will show you which is the correct graph.

Main idea on left, details on right