Question

PLZ HELP ASAP DIVIDE LINE SEGMENTS

Answer 1

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

So B will have coordinates (7-2, 4-2) = (5, 2)

Answer 2

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 cooridinates of point B are ...
B = (5, 2)