body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

3. Using Midpoint and Distance Formulas

Continue to next subchapter

Exercise 28 Page 401

Use the Distance Formula.

sqrt(106) or about 10.3

Practice makes perfect

To determine the distance between two points, we use the Distance Formula. The coordinates of the given points are L(7,- 1) and M(- 2,4).

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

SubstitutePoints

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

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

a-(- b)=a+b

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

Add and subtract terms

LM=sqrt((- 9)^2+5^2)

Calculate power

LM=sqrt(81+25)

Add terms

LM=sqrt(106)

The distance between L and M is sqrt(106). Using a calculator we can estimate that it is about 10.3.

Subchapter links

Communicate Your Answer p.395

Monitoring Progress p.396-399

Exercises p.400-402