Question

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What is the distance between (−2, −4) and (−2, −8) ?

2 units

4 units

12 units

Answer 1

4 units

Explanation:

Calculate the distance d using the distance formula

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

with (x₁, y₁ ) = (- 2, - 4 ) and (x₂, y₂ ) = (- 2, - 8 )

d =
`√((-2-(-2))^2+(-8-(-4))^2)`

=
`√((-2+2)^2+(-8+4)^2)`

=
`√(0^2+(-4)^2)`

=
`√(0+16)`

=
`√(16)`

= 4

Answer 2

• 4 units

Explanation:

Given points:

• (−2, −4) and (−2, −8)

Since the x-coordinates are same, the distance between them is the absolute value of the difference in y- coordinates:

• d = |-8 - (-4)| = | - 4| = 4