What is the distance between $(-5,2 )$ and $(4, 7)$ ?

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Answer 1 · 2016-01-05T14:25:40

$sqrt 106$ ≈ 10.3 (1 decimal place )

To find the distance (d ) between 2 coordinate points $(x_1 , y_1 ) and ( x_2 , y_2 )$

Use the distance formula which is given as

$color(red)( d = sqrt ((x_2 - x_1 )^2 + ( y_2 - y_1 )^2$

For the coordinate pairs given let $( -5 , 2 ) = ( x_1 , y_1 ) , (4 , 7) = ( x_2 , y_2 )$

substituting into the formula

$d = sqrt (4 - (-5)^2 + (7 - 2 )^2$

$= sqrt( 9^2 + 5^2$

= $sqrt ( 81 + 25) = sqrt 106$ ≈ 10.3 (1 decimal place )

What is the distance between (-5,2 ) (-5,2 ) and (4, 7) (4, 7) ?