You want B - A = (1/4)(C - A) Add A and simplify. B = (1/4)C -(1/4)A +A B = (1/4)C +(3/4)A B = (C +3A)/4 Substituting for A and C, this gives B = ((-1 -4) +3(7, 4))/4 B = (20, 8)/4 B = (5, 2)
The difference in x coordinates between A and C is 8 units and difference in y coordinates is also 8 units So the point B will be 1/4 + 8 ( that is 2) down from A and 2 the the left of A