Find he midpoint of a and b where a has coordinates (2,4) and b has coordinates (-3,-9)

midpoint of AB: (- 0.5 , - 2.5)

Step-by-step explanation:

(2,4) (-3,-9)

distance of x to x' = 2 - (-3) = 5

mid point from -3 : x coordinate -3 + 5/2 = - 0.5

distance of y to y' = 4 - (-9) = 13

mid point from -9 : y coordinate -9 + 13/2 = - 2.5

midpoint of AB: (- 0.5 , - 2.5)

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!