Find the two points of segments ab that divide the segment into three congruent parts. point a has coordinates (0,0) and point b has coordinates (9,6). explain your method.   

we are given two points as

Point A has coordinates (0,0) and point B has coordinates (9,6)

We can divide it between A and B as C and D

Firstly, we can find point-C

point-C:

so, we get point C as

so, point-C is (3,2)

point-D:

we know that it starts from (0,0) goes to (3,2)

and it is divided into three equal parts

so, in our next x-value , we will add +3 and +2 in y-value

D=(3+3 , 2+2)

D=(6,4)

we can draw line as

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

1 is c

2 is a

3 is a

step-by-step explanation: