Recall the slope of a line can be determined by
In your case, solve for such that
Another way of doing this: a line passing through (1, 1) with slope 3/4 is of the form y- 1= (3/4)(x- 1) or y= (3/4)x+ 1/4. Solve that and simultaneously. Just replacing y in with (3/4)x+ 1/4 gives a cubic equation with a simple answer.