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Big Ideas Math Integrated I, 2016 View details

4. Proofs with Perpendicular Lines

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Exercise 3 Page 524

Use the Distance Formula.

About 3.2 units.

Practice makes perfect

The distance between a point and a line is the length of the perpendicular segment from the point to the line. In this case, that is AY. The distance from A to Y can be calculated using the Distance Formula. d = sqrt((x_2-x_1)^2 + (y_2-y_1)^2) By substituting the points for A and Y into the formula we can calculate the distance

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

SubstitutePoints

Substitute ( 3,0) & ( 0,1)

AY=sqrt(( 3- 0)^2+( 0- 1)^2)

▼

Simplify right-hand side

SubTerms

Subtract terms

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

CalcPow

Calculate power

AY=sqrt(9+1)