Find the midpoint of the line seg ST given that the coordinates of point S are (3a,5b) and the coordinates of?

Question

point T are (a,b)

a. (4a,6b)
b. (2a,3b)
c. (a,2b)
d. (2,2)

Answer 1

b. (2a,3b) is true


midpoint M(x,y)

x=(3a+a)/2=2a

y=(5b+b)/2=3b

M(2a,3b)

Answer 2

to find the midpoint, u have to use the midpoint formula:

M = (x1+x2 /2 , y1+y2/ 2)

it means add both the x values and divide by 2, and add the y values and divide by 2. ull get the coordinates of the midpoint.

first add the X's, 3a+a=4a /2= 2a

now add the y's, 5b+b= 6b /2 = 3b

the midpoint is at (2a, 3b)