Question

Find the distance between points (-6, 5) and (-1, -7).

Answer 1

The nearest distance between the two points (-6,5) and (-1,-7) is 13 units, which obtained by graphical and formula method.

Explanation:

The given is,

Two points are (-6,5) and (-1.-7)

Step:1

By graphical method,

Locate the points (-6,5) and (-1,-7) in the graph.

First point (-6,5)

The values x=-6 and y=5 noted in the graph

Second point (-1, -7)

The values x=-1 and y=-7 noted in the graph

Now join the two points, measure the distance between two points,

Distance between two points are 13 units, some times it becomes 12,99 or 13.1 we need to convert the answer in nearest whole number.

( OR )

Step:1

By formula method,

Distance =
`\sqrt{(x_(2)-x_(1) ) ^(2) +(y_(2)-y_(1) ) ^(2) }`

Where,

(-6, 5) are (
`x_(1) ,y_(1)`)

(-1,-7) are (
`x_(2) ,y_(2)`)

From equation,

=
`\sqrt{(-1+6 ) ^(2) +(-7-5 ) ^(2) }`

=
`\sqrt{(5 ) ^(2) +(-12 ) ^(2) }`

=
`√(25+144)`

=
`√(169)`

Distance = 13

Result:

The nearest distance between the two points (-6,5) and (-1,-7) is 13 units, which obtained by graphical and formula method.