Question

Find the horizontal and vertical component of the directed line segment XY with coordinates X(-4, -7) and Y(8, 9).

Answer 1

Horizontal component is equal to
`12`

Vertical component is equal to
`16`

Explanation:

Given: line segment has coordinates
`X(-4,-7),Y(8,9)`

To find: horizontal and vertical component of the directed line segment
`XY`

Solution:

For line segment with coordinates
`(a,b),(c,d)`,

horizontal component is given by
`c-a` and vertical component is given by
`d-b`

Here,

`(a,b)=(-4,-7),(c,d)=(8,9)`

So,

Horizontal component is equal to
`8-(-4)=8+4=12`

Vertical component is equal to
`9-(-7)=9+7=16`