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Pearson Geometry Common Core, 2011

PG

Pearson Geometry Common Core, 2011 View details

8. Slopes of Parallel and Perpendicular Lines

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Exercise 50 Page 204

Use the Distance Formula.

≈ 8.9 units

Practice makes perfect

To determine the distance between two points, we use the Distance Formula. The coordinates of the given points are (-4.5,1.2) and (3.5,-2.8).

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

SubstitutePoints

Substitute ( -4.5,1.2) & ( 3.5,-2.8)

d=sqrt(( 3.5-( -4.5))^2+( -2.8- 1.2)^2)

a-(- b)=a+b

d=sqrt((3.5+4.5)^2+(-2.8-1.2)^2)

Add and subtract terms

d=sqrt(8^2+(-4)^2)

Calculate power

d=sqrt(64+16)

Add terms

d=sqrt(80)

Use a calculator

d = 8.944271...

Round to 1 decimal place(s)

d ≈ 8.9

The distance between the given points is approximately 8.9 units.

Subchapter links

Lesson Check p.201

Practice and Problem-Solving Exercises p.201-204

Standardized Test Prep p.204

Mixed Review p.204