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Glencoe Math: Course 3, Volume 2 View details

7. Distance on the Coordinate Plane

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Exercise 17 Page 437

Use the Distance Formula.

11.4 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, W( 1, 7) and X( - 2, - 4) into this formula and simplify.

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

SubstitutePoints

Substitute ( 1, 7) & ( - 2, - 4)

d=sqrt(( - 2- 1)^2+( - 4- 7)^2)

SubTerms

Subtract terms

d=sqrt((- 3)^2+(- 11)^2)

NegBaseToPosPow

(- a)^2 = a^2

d=sqrt(3^2+11^2)

CalcPow

Calculate power