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