Question

If the midpoint between (18, y) and (20, -15) is (19, -5), find the value of y.

Answer 1

`(18, y) \ and \ (20, -15) \ is \ (19, -5) \\ \\(x _(m),y _(m)) =[ (x_(1) +x _(2))/(2) , (y _(1)+y _(2))/(2)] \\ \\ (19,-5)= [(20+19)/(2),(y-15)/(2)] \\ \\(19,- 5)= [19,(y-15)/(2)] \\ \\ -5= (y-15)/(2) \ \ / *2\\ \\-10 = y-15\ \ | +15\\ \\y=-10 + 15 \\ \\ y = 5\\ \\(19,- 5)= [19,(5-15)/(2)] \\ \\(19,- 5)= ( 19,-5) \\ \\ \\ Aswer : y = 5`