Exercise 27 Page 25

To determine the distance between two points, we use the Distance Formula. The coordinates of the given points are J(- 8,0) and K(1,4).

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

SubstitutePoints

Substitute ( - 8,0) & ( 1,4)

JK=sqrt(( 1-( - 8))^2+( 4- 0)^2)

SubNeg

a-(- b)=a+b

JK=sqrt((1+8)^2+(4-0)^2)

AddSubTerms

Add and subtract terms

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

CalcPow

Calculate power

JK=sqrt(81+16)

AddTerms

Add terms

JK=sqrt(97)

The distance between J and K is sqrt(97). Using a calculator we can estimate that it is about 9.8.