What is the distance between (–5, –9) and (4, 7) ?

1 Answer
Jim G.
Jan 31, 2016

sqrt337 ≈ 18.4

Explanation:

To calculate the distance between 2 given points.

Use the color(blue)(" distance formula ")

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

where (x_1 , y_1 ) , (x_2 , y_2 ) color(black)(" are 2 points ")

here let (x_1 , y_1 ) = (-5 , - 9 )color(black)(" and ") (x_2 ,y_2) = (4 , 7 )

substitute the values into equation.

d = sqrt ((4-(-5)^2) + (7-(-9)^2)) = sqrt (( 9^2+ 16^2)) = sqrt337 ≈18.4

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