Question

Find the distance between the points (2, −3) and (−4, −7).

Answer 1

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Answer:
`7.21`

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Given:
`\textsf{(2, -3) and (-4, -7)}`

Find:
`\textsf{Find the distance between the two points}`

Solution: Use the distance formula and the two points that were provided to determine the distance.

Plug in the values

• 
  `d = √((x_2-x_1)^2+(y_2-y_1)^2)`

• 
  `d = √((-4-2)^2+(-7-(-3))^2)`

Simplify and expand

• 
  `d = √((-6)^2+(-7+3))^2)`

• 
  `d = √((-6)^2+(-4))^2)`

• 
  `d = √(36+14)`

• 
  `d = √(52)`

If we are using square root we use the square root of 52 but if we simplify it to a decimal point we would use 7.21