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Glencoe Math: Course 3, Volume 2 View details

7. Distance on the Coordinate Plane

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Exercise 18 Page 437

Use the Distance Formula.

3.9 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, G( - 6.25, 5) and H( - 3.75, 2) into this formula and simplify.

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

SubstitutePoints

Substitute ( - 6.25, 5) & ( - 3.75, 2)

d=sqrt(( - 3.75-( - 6.25))^2+( 2- 5)^2)

SubNeg

a-(- b)=a+b

d=sqrt((- 3.75+ 6.25)^2+(2-5)^2)

AddSubTerms

Add and subtract terms

d=sqrt(2.5^2+(- 3)^2)

NegBaseToPosPow

(- a)^2 = a^2