A line segment AB is increased along its length by 25% by producing it to C on the side of B . If A and B have the coordinates ( 1 , 2 ) and ( 5 , 6 ) respectively then find the coordinates of C. Ans : ( 6 , 7 )

*Please show your workings* ​

Line segment AB goes from point A: (1, 2) to point B: (5, 6)

You increase the length by 25% by finding point C, 25% further away from point A than B is away from A.

How do you find the coordinates of point C?

X coordinate:

What is the distance on the X-axis from X = 1 to X = 5?

5 - 1 = 4

The x-coordinates are 4 apart

What number is 25% higher that 4?

4 × 125% = 5

What X-coordinate is 5 away from 1?

1 + 5 = 6

Point C’s x-coordinate is 6

Y coordinate:

What is the distance on the y-axis from Y = 2 to Y = 6?

6 - 2 = 4

The y-coordinates are 4 apart

What is 25% higher than 4?

Add one-fourth of 4 to the number

4 + (¼×4) = 4 + 1 = 5

What Y-coordinate is 5 away from 2?

2 + 5 = 7

Point C’s y-coordinate is 7

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