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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