TODAY IN ALGEBRA… Warm up: Calculating Slope Learning Goal: 5.1b You will write equations of...
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Transcript of TODAY IN ALGEBRA… Warm up: Calculating Slope Learning Goal: 5.1b You will write equations of...
TODAY IN ALGEBRA…
Warm up: Calculating Slope
Learning Goal: 5.1b You will write equations of lines in slope intercept form given two points
Independent Practice
WARM UP: Find the slopes of the line that passes through the points:
0−24−(−1)
5−(−3)1−(−1)
Given two points find the y-intercept:
5.1 WRITING LINEAR EQUATIONS IN SLOPE-INTERCEPT FORM
y-intercept
(0 ,2 ) ,(4 ,4)
PRACTICE: Given two points find the y-intercept.
1.
2.
𝑏=2
𝑏=4
𝑏=−3 REMEMBER:
43 −5
REMEMBER:
𝑚→𝑏→
5.1 WRITING LINEAR EQUATIONS IN SLOPE-INTERCEPT FORM GIVEN TWO POINTS!
Write an equation of the line that passes through the given points:
(𝟎 ,−𝟓 ) ,(𝟑 ,−𝟏)1. Calculate slope: 2. Find the y-intercept :
−1−(−5)3−0
43
−5
𝑦=𝑥+¿43 1
REMEMBER:
𝑚→𝑏→
5.1 WRITING LINEAR EQUATIONS IN SLOPE-INTERCEPT FORM GIVEN TWO POINTS!
PRACTICE: Write an equation of the line that passes through the given points:
(𝟎 ,𝟏 ) ,(𝟒 ,−𝟏)1. Calculate slope: 2. Find the y-intercept :
−1−14−0
−121
¿−𝟏𝟐
Rewrite the function values as coordinate pairs:
5.1 WRITING LINEAR EQUATIONS IN SLOPE-INTERCEPT FORM
𝑓 (0 )=3 , 𝑓 (−4 )=11
PRACTICE: Rewrite the function values as coordinate pairs:
1. 2.
REMEMBER: FUNCTION NOTATION
𝑥 𝑥𝑦 𝑦
(0 ,3) (−4 ,11)
𝑥 𝑦 𝑥 𝑦 𝑥 𝑦 𝑥 𝑦
(−4 ,6 ) (0 ,−2) (10 , 4) (−8 ,2)
𝑓 (𝑥)=𝑥+¿125 5
REMEMBER:
𝑚→𝑏→
5.1 WRITING LINEAR EQUATIONS IN SLOPE-INTERCEPT FORM GIVEN TWO POINTS IN FUNCTION NOTATION!Write an equation for the linear function with the values and
(𝟎 ,𝟓 ) ,(𝟒 ,𝟏𝟕)1. Calculate slope: 2. Find the y-intercept :
17−55−0
1255
𝑓 (𝑥)=𝑥+¿−2 3
REMEMBER:
𝑚→𝑏→
5.1 WRITING LINEAR EQUATIONS IN SLOPE-INTERCEPT FORM GIVEN TWO POINTS IN FUNCTION NOTATION!PRACTICE: Write an equation for the linear function with the values and
(𝟎 ,𝟑 ) ,(−𝟒 ,𝟏𝟏)1. Calculate slope: 2. Find the y-intercept :
11−3−4−0
−23
¿−𝟐
HOMEWORK #2:
Pg. 286: 24-38 all
If finished, work on other assignments:
HW #1: Pg. 286: 3-23 all