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.

Dashboard

Big Ideas Math Integrated I, 2016 View details

4. Proofs with Perpendicular Lines

Continue to next subchapter

Exercise 4 Page 524

Use the Distance Formula.

About 4.1 units.

Practice makes perfect

The distance from A to XZ refers to the shortest distance between the point and the line. This is always the length of the segment that's perpendicular to XZ. Therefore, we should substitute points A and Z in the Distance Formula.

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

SubstitutePoints

Substitute ( 4,- 1) & ( 3,3)

AY=sqrt(( 4- 3)^2+( - 1- 3)^2)

▼

Simplify right-hand side

SubTerms

Subtract terms

AY=sqrt(1^2+(- 4)^2)

CalcPow

Calculate power

AY=sqrt(1+16)