What are the coordinates of the point that is 1/4 of the way from a to b ?

((X_2 - X_1)/4, (Y_2 - Y_1)/4)

Step-by-step explanation:

C = The new point

X_1 = The x coordinate of A

X_2 = The x coordinate of B

X_3 = The x coordinate of C

Y_1 = The y coordinate of A

Y_2 = The y coordinate of B

Y_3 = The y coordinate of C

The distance between A and the new point, C, is equal to 1/4 the distance from the X coordinate of A to the X coordinate of b.

So,  X_3 = (X_2 - X_1)/4

The Y is the same thing but for the Y coordinate.

Y_3 = (Y_2 - Y_1)/4

This means that the coordinates of C are equal to ((X_2 - X_1)/4, (Y_2 - Y_1)/4)

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

step-by-step explanation: