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Glencoe Math: Course 3, Volume 2 View details

7. Distance on the Coordinate Plane

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Exercise 6 Page 435

Use the Distance Formula.

7.6 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, Y( 3.5, 1) and Z( - 4, 2.5) into this formula and simplify.

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

SubstitutePoints

Substitute ( 3.5, 1) & ( - 4, 2.5)

d=sqrt(( - 4- 3.5)^2+( 2.5- 1)^2)

SubTerms

Subtract terms

d=sqrt((- 7.5)^2+1.5^2)

NegBaseToPosPow

(- a)^2 = a^2

d=sqrt(7.5^2+1.5^2)

CalcPow

Calculate power