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Mathematics

Grade9

Easy

Question

Calculate the length of a line with endpoints at (4, 10) and (8, 13)?

5
4
25
3

hint Hint:

If there are two points and ,then distance between two points is

The correct answer is: 5

Using distance formula,
Distance = $square root of open parentheses x subscript 2 end subscript minus x subscript 1 end subscript close parentheses to the power of 2 end exponent plus blank open parentheses y subscript 2 end subscript minus y subscript 1 end subscript close parentheses to the power of 2 end exponent end root$
The length of a line with endpoints at (4, 10) and (8, 13) = $square root of left parenthesis 8 minus 4 right parenthesis to the power of 2 end exponent plus blank left parenthesis 13 minus 10 right parenthesis to the power of 2 end exponent end root$
= $square root of 4 to the power of 2 end exponent plus blank 3 to the power of 2 end exponent end root$
= $square root of 16 plus 9 end root$
= $square root of 25$
= 5
Therefore, The length of a line with endpoints at (4, 10) and (8, 13) is 5 .

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