Exercise 50 Page 590

To determine the distance between two points, we use the Distance Formula. The coordinates of the given points are J(- 4,- 5) and K(2,9).

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

SubstitutePoints

Substitute ( - 4,- 5) & ( 2,9)

JK=sqrt(( 2-( - 4))^2+( 9-( - 5))^2)

SubNeg

a-(- b)=a+b

JK=sqrt((2+4)^2+(9+5)^2)

AddTerms

Add terms

JK=sqrt(6^2+14^2)

CalcPow

Calculate power

JK=sqrt(36+196)

AddTerms

Add terms

JK=sqrt(232)

CalcRoot

Calculate root

JK ≈ 15.2

The distance between J and K is approximately 15.2.