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Glencoe Math: Course 3, Volume 2 View details

7. Distance on the Coordinate Plane

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Exercise 5 Page 435

Use the Distance Formula.

1.4 units

Practice makes perfect

To find the distance between the given points, we can use the Distance Formula. d=sqrt(( x_2- x_1)^2+( y_2- y_1)^2) Let's substitute the given coordinates, C( - 5, - 3) and D( - 4, - 2) into this formula and simplify.

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

SubstitutePoints

Substitute ( - 5, - 3) & ( - 4, - 2)

d=sqrt(( - 4-( - 5))^2+( - 2-( - 3))^2)

SubNeg

a-(- b)=a+b

d=sqrt((- 4+5)^2+(- 2+3)^2)

AddTerms

Add terms

d=sqrt(1^2+1^2)

CalcPow

Calculate power