Question

Write a fraction setting the vertical length of the larger triangle over its horizontal length. What does this fraction represent?

Answer 1

• Vertical length =y co-ordinates distance
• Horizontal length=x co-ordinates distance

Horizontal length:-.

`\\ \sf\longmapsto |0-6|=|-6|=6units`

Vertical length:-

`\\ \sf\longmapsto |0-4|=|-4|=4units`

Fraction:-

`\\ \sf\longmapsto (x)/(y)=(4)/(6)=(2)/(3)`

Answer 2

• See below

Explanation:

Vertical length of the larger triangle is:

• 0 - (-4) = 4

Horizontal length of the larger triangle is:

• 0 - (-6) = 6

The fraction:

• 4/6 = 2/3

This fraction represents the slope of the hypotenuse (or the red line)