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

1 Answer
Jan 31, 2016

Answer:

# 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#