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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 53 Page 55

Find the coordinates and substitute them into the Distance Formula.

7 miles

Practice makes perfect

We want to find the distance between Central Station and South Station.

We can do this using the Distance Formula. d=sqrt((x_2-x_1)^2+(y_2-y_1)^2) The coordinates for Central Station are (0,3) and the coordinates for South Station are (0,-4). Let's substitute these points into the formula.

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

SubstitutePoints

Substitute ( 0,-4) & ( 0,3)

d=sqrt(( 0- 0)^2+( 3-( -4))^2)

a-(- b)=a+b

d=sqrt((0-0)^2+(3+4)^2)

Add and subtract terms

d=sqrt(0^2+7^2)

Calculate power

d=sqrt(0+49)

Add terms

d=sqrt(49)

Calculate root

d=7

Keeping in mind that each unit represents a mile, we can say that it is 7 miles from Central Station to South Station.

Subchapter links

Lesson Check p.53

Practice and Problem-Solving Exercises p.54-56

Standardized Test Prep p.56

Mixed Review p.56