Transcript Lesson 1.6

Bell Ringer #1
Find the square root (without a calculator)
Estimate to the nearest whole number when
needed.
1. 25 2. 36 3. 17 4. 123
Evaluate each expression for
𝒎 = −𝟑 𝒂𝒏𝒅 𝒏 = 𝟕
5. 𝒎 − 𝒏
𝟐
6. 𝒏 − 𝒎
𝟐
7. 𝒎𝟐 + 𝒏𝟐
1-6 The
Coordinate Plan
Quadrant II
(-, +)
Quadrant I
(+, +)
Origin (0, 0)
Quadrant III
Quadrant IV
(-, -)
(+, -)
C
A
B
F
E
D
The Distance Formula
𝑑=
(𝑥2 −
2
𝑥1 ) +(𝑦2
− 𝑦1
2
)
Find the distance: t(5, 2) and
r(-4, -1)
(𝑥2 − 𝑥1 )2 +(𝑦2 − 𝑦1 )2
Find the distance: t(1, -3) and
r(-4, 4 )
2
2
(𝑥2 − 𝑥1 ) +(𝑦2 − 𝑦1 )
The Midpoint Formula
𝑥1 + 𝑥2 𝑦1 + 𝑦2
𝑀=
,
2
2
Find the midpoint
Find the midpoint
Find the endpoint: if the midpoint is
M(3, 4) and endpoint A(-3, -2)
Find the endpoint: if the midpoint is
M(-1, 2) and endpoint A(3, -5)