Homework

9.1 Distance Formula & Midpoint FormulaDistanceFind the distance between the 2 points

What theorem ?Pythagorean(3, 4)(0, 0)34abcDistance Formula:

Why not ?Distance

Ex 1) Find the distance between (2, 1) and (9, 1)

(x1, y1)(x2, y2)

T.O.O Ex 2) Find the distance between

(x1, y1)(x2, y2)

Ex 3) Find the distance between(a, b) and (0, b)

(x1, y1)(x2, y2)

Midpoint FormulaWhat does midpoint mean?Middle(3, 4)(0, 0)Midpoint Formula: Add them up & divide by 2

approxMidpoint is +Distance is Ex 4) Find the midpoint of (6, 4) and (2, 8)

Midpoint Formula:

Ex 5) If the midpoint is (1, 1) and one endpoint is (6, 2), find the other endpoint.

Midpoint = (1, 1)(x1, y1) = (6, 2)Find (x2, y2)

Set each part = to each other

8 Ex 6) Find the equation in Standard Form of the perpendicular bisector of AB for the points A(2, 1) and B(1, 3).Perp. Bisector: Opp. recip. slope & goes through midpoint.Find the slope of the line.Find the opp. recip. slope.

Find the midpoint of the 2 points

Perp. Bis. has slope and goes thru point

9Slope: Point:Use slope formula again:

(2)(2)(2)(2)S.F.: No FractionsAx + By = CA is (+)T.O.O. Ex 7) Find the midpoint and distance of (a, b) and (2a, 4b)

Midpoint Formula:

Distance Formula:

Homework#901 Pg. 404 1 23 odd Pg. 405 1 4 all