TODAY IN ALGEBRA…

Warm up: 5.2 Review-Writing an equation of a line given two points

Learning Goal: 5.3 Writing a linear equation in Point-Slope form

Independent Practice

WARM UP: Write an equation for the linear function with the values and

𝑓 (𝑥)=𝑥+¿ 6

REMEMBER:

𝑚→𝑏→

(−𝟐 ,𝟏𝟎 ) ,(𝟒 ,−𝟐)

−26

1. Rewrite function values as coordinate pairs (points): 2. Calculate slope:

2. Calculate the y-intercept:

𝑥 𝑦

−2−104−(−2)

5.3 WRITING LINEAR EQUATIONS IN POINT-SLOPE FORMWe learned…

SLOPE-INTERCEPT FORM:

𝑦=𝑚𝑥+𝑏

𝑠𝑙𝑜𝑝𝑒=𝑟𝑖𝑠𝑒𝑟𝑢𝑛

New…POINT-SLOPE FORM:

𝑦− 𝑦1=𝑚 (𝑥−𝑥1)

𝑠𝑙𝑜𝑝𝑒=𝑟𝑖𝑠𝑒𝑟𝑢𝑛

PRACTICE: Write an equation of the line in point-slope form given a point and slope.

1. 2.

2−3

REMEMBER:

5.3 WRITING LINEAR EQUATIONS IN POINT-SLOPE FORM

4 −24 −1

PRACTICE: (10 MINUTES)

On a separate piece of paper try the following problems:

Pg. 305: 3-11

Rewrite the equation into slope-intercept form.SOLVE FOR Y!

1.

5.3Changing POINT-SLOPE FORM to SLOPE-INTERCEPT FORM

2.

2−11

−22

Graph the equation:

REMEMBER:

5.3 Graphing equations in POINT-SLOPE FORM

𝑦+2=23(𝑥−3)

𝑠𝑙𝑜𝑝𝑒=𝑟𝑖𝑠𝑒𝑟𝑢𝑛

𝑝𝑜𝑖𝑛𝑡 :(𝑥1 , 𝑦1)

23

(3 ,−2)

23

**Points are always opposite the sign!!!

𝑠𝑡𝑎𝑟𝑡→

PRACTICE:Graph the equation:

REMEMBER:

5.3 Graphing equations in POINT-SLOPE FORM

𝑦−2=12(𝑥+2)

𝑠𝑙𝑜𝑝𝑒=𝑟𝑖𝑠𝑒𝑟𝑢𝑛

𝑝𝑜𝑖𝑛𝑡 :(𝑥1 , 𝑦1)

12

(−2 ,2)

12

**Points are always opposite the sign!!!

𝑠𝑡𝑎𝑟𝑡→

PRACTICE: (15 MINUTES)

On the same piece of paper try the following problems:

Pg. 306: 14-19

REMEMBER:

5.3 Writing equations in POINT-SLOPE FORM given a graph

2

Write an equation in point-slope form of the line shown.

−2(−1 ,3)

(1 ,1)1. Find slope:

2. Choose one point:*doesn’t matter which one*

3. Plug into point-slope form.

1 1−1

REMEMBER:

5.3 Writing equations in POINT-SLOPE FORM given pointsWrite an equation in point-slope form given the two points.

1. Find slope:

2. Choose one point.*doesn’t matter which one*

3. Plug into point-slope form.

3 212

(𝟐 ,𝟑 ) ,(𝟒 ,𝟒)

4−34−2

4 412

HOMEWORK #4:

Pg. 305: 3-30 all

If finished, work on other assignments:

HW #1: Pg. 286: 3-23 allHW #2: Pg. 286: 24-38 allHW #3: Pg. 296: 3-7, 11-14, 22-25