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Pearson Geometry Common Core, 2011

PG

Pearson Geometry Common Core, 2011 View details

7. Midpoint and Distance in the Coordinate Plane

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Exercise 54 Page 55

Find the coordinates and substitute them into the Distance Formula.

Approximately 8.9 miles

Practice makes perfect

We want to find the distance between Elm Station and Symphony Station.

We can do this using the Distance Formula. d=sqrt((x_2-x_1)^2+(y_2-y_1)^2) The coordinates for Elm Station are (-3,-6) and the coordinates for Symphony Station are (1,2). Let's substitute these points into the formula.

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

SubstitutePoints

Substitute ( 1,2) & ( -3,-6)

d=sqrt(( -3- 1)^2+( -6- 2)^2)

Subtract terms

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

Calculate power

d=sqrt(16+64)

Add terms

d=sqrt(80)

Calculate root

d≈8.9

Keeping in mind that each unit represents a mile, we can say that it is approximately 8.9 miles from Elm Station to Symphony Station.

Subchapter links

Lesson Check p.53

Practice and Problem-Solving Exercises p.54-56

Standardized Test Prep p.56

Mixed Review p.56