Answer:
Q = (9, 4 )
Step-by-step explanation:
Use the midpoint formula and equate to the coordinates of the midpoint.
M = ([tex]\frac{x_{1}+x_{2} }{2}[/tex] ) , ([tex]\frac{y_{1}+y_{2} }{2}[/tex] )
let the coordinates of Q = (x, y ) , R = (- 7, 0 ) , then
[tex]\frac{x-7}{2}[/tex] = 1 ( multiply both sides by 2 )
x - 7 = 2 ( add 7 to both sides )
x = 9
and
[tex]\frac{y+0}{2}[/tex] = 2 ( multiply both sides by 2 )
y = 4
Thus Q = (9, 4 )
