Question

one endpoint of the line segment with length 10 and slope 3/4 is in the origin. if the midpoint is in the first quadrant, what are its coordinates?

Answer 1

bet you can do it almost in your head. think 3-4-5 right triangle

Answer 2

let the other end of the segment has coordinates x, y
then y / x = 3/4
the right angled triangle formed has hypotenuse 10 so x = 8 and y = 6 (pythtgoras)

midpoint is ((6+0)/2 , (8+0 )/2