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(Re)Intro to Linear Equations

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1 (Re)Intro to Linear Equations
Students will be able to identify all major components of a linear equation as well as be able to graph them.

2 (Re)Intro to Linear Equations 𝑦=π’Žπ‘₯+𝒃

3 (Re)Intro to Linear Equations
πΆπ‘œπ‘œπ‘Ÿπ‘‘π‘–π‘›π‘Žπ‘‘π‘’π‘  π‘Žπ‘Ÿπ‘’ π‘Žπ‘™π‘€π‘Žπ‘¦π‘  (π‘₯,𝑦)

4 (Re)Intro to Linear Equations
πΆπ‘œπ‘œπ‘Ÿπ‘‘π‘–π‘›π‘Žπ‘‘π‘’π‘  π‘Žπ‘Ÿπ‘’ π‘Žπ‘™π‘€π‘Žπ‘¦π‘  (π‘₯,𝑦)

5 (Re)Intro to Linear Equations
π‘‡β„Žπ‘’ π‘‚π‘Ÿπ‘–π‘”π‘–π‘› Origin means β€œthe beginning”

6 (Re)Intro to Linear Equations
π‘†π‘™π‘œπ‘π‘’ π‘ π‘™π‘œπ‘π‘’=π‘š= π‘Ÿπ‘–π‘ π‘’ π‘Ÿπ‘’π‘› = 𝑦 π‘₯

7 (Re)Intro to Linear Equations
π‘†π‘™π‘œπ‘π‘’ π‘ π‘™π‘œπ‘π‘’=π‘š= π‘Ÿπ‘–π‘ π‘’ π‘Ÿπ‘’π‘› = 𝑦 π‘₯

8 π‘ƒπ‘œπ‘ π‘–π‘‘π‘–π‘£π‘’ π‘ π‘™π‘œπ‘π‘’ 𝑣. π‘›π‘’π‘”π‘Žπ‘‘π‘–π‘£π‘’ π‘ π‘™π‘œπ‘π‘’
(Re)Intro to Linear Equations π‘ƒπ‘œπ‘ π‘–π‘‘π‘–π‘£π‘’ π‘ π‘™π‘œπ‘π‘’ 𝑣. π‘›π‘’π‘”π‘Žπ‘‘π‘–π‘£π‘’ π‘ π‘™π‘œπ‘π‘’

9 π‘ƒπ‘œπ‘ π‘–π‘‘π‘–π‘£π‘’ π‘ π‘™π‘œπ‘π‘’ 𝑣. π‘›π‘’π‘”π‘Žπ‘‘π‘–π‘£π‘’ π‘ π‘™π‘œπ‘π‘’
(Re)Intro to Linear Equations π‘ƒπ‘œπ‘ π‘–π‘‘π‘–π‘£π‘’ π‘ π‘™π‘œπ‘π‘’ 𝑣. π‘›π‘’π‘”π‘Žπ‘‘π‘–π‘£π‘’ π‘ π‘™π‘œπ‘π‘’

10 (Re)Intro to Linear Equations
π‘‡β„Žπ‘’π‘› π‘€β„Žπ‘Žπ‘‘ π‘Žπ‘π‘œπ‘’π‘‘ π‘‘β„Žπ‘’π‘ π‘’?

11 π‘…π‘’βˆ’π‘Šπ‘Ÿπ‘–π‘‘π‘’ π‘‘β„Žπ‘’ π‘†π‘™π‘œπ‘π‘’ πΆβ„Žπ‘Žπ‘–π‘›
(Re)Intro to Linear Equations π‘…π‘’βˆ’π‘Šπ‘Ÿπ‘–π‘‘π‘’ π‘‘β„Žπ‘’ π‘†π‘™π‘œπ‘π‘’ πΆβ„Žπ‘Žπ‘–π‘›

12 π‘…π‘’βˆ’π‘Šπ‘Ÿπ‘–π‘‘π‘’ π‘‘β„Žπ‘’ π‘†π‘™π‘œπ‘π‘’ πΆβ„Žπ‘Žπ‘–π‘›
(Re)Intro to Linear Equations π‘…π‘’βˆ’π‘Šπ‘Ÿπ‘–π‘‘π‘’ π‘‘β„Žπ‘’ π‘†π‘™π‘œπ‘π‘’ πΆβ„Žπ‘Žπ‘–π‘› π‘ π‘™π‘œπ‘π‘’=π‘š= π‘Ÿπ‘–π‘ π‘’ π‘Ÿπ‘’π‘› = 𝑦 π‘₯

13 (Re)Intro to Linear Equations
π‘Šβ„Žπ‘Žπ‘‘ 𝑖𝑠 π‘Žπ‘› π‘–π‘›π‘‘π‘’π‘Ÿπ‘π‘’π‘π‘‘?

14 (Re)Intro to Linear Equations
π‘Šβ„Žπ‘Žπ‘‘ 𝑖𝑠 π‘Žπ‘› π‘–π‘›π‘‘π‘’π‘Ÿπ‘π‘’π‘π‘‘? 𝑦=π‘šπ‘₯+𝐛

15 (Re)Intro to Linear Equations
πΆπ‘œπ‘œπ‘Ÿπ‘‘π‘–π‘›π‘Žπ‘‘π‘’ π·π‘’π‘“π‘–π‘›π‘–π‘‘π‘–π‘œπ‘› π‘œπ‘“ π‘Žπ‘› π‘–π‘›π‘‘π‘’π‘Ÿπ‘π‘’π‘π‘‘ 𝑦 π‘–π‘›π‘‘π‘’π‘Ÿπ‘π‘’π‘π‘‘ β†’π‘₯ 𝑖𝑠 π‘§π‘’π‘Ÿπ‘œ β†’(0,𝑏) So what about an x-intercept?

16 (Re)Intro to Linear Equations
πΆπ‘œπ‘œπ‘Ÿπ‘‘π‘–π‘›π‘Žπ‘‘π‘’ π·π‘’π‘“π‘–π‘›π‘–π‘‘π‘–π‘œπ‘› π‘œπ‘“ π‘Žπ‘› π‘–π‘›π‘‘π‘’π‘Ÿπ‘π‘’π‘π‘‘ 𝑦 π‘–π‘›π‘‘π‘’π‘Ÿπ‘π‘’π‘π‘‘ β†’π‘₯ 𝑖𝑠 π‘§π‘’π‘Ÿπ‘œ β†’(0,𝑏) π‘₯ π‘–π‘›π‘‘π‘’π‘Ÿπ‘π‘’π‘π‘‘ →𝑦 𝑖𝑠 π‘§π‘’π‘Ÿπ‘œ β†’(π‘₯,0)

17 𝐴𝑛 π‘–π‘›π‘‘π‘’π‘Ÿπ‘π‘’π‘π‘‘ 𝑖𝑠 π‘‘π‘€π‘œ π‘‘β„Žπ‘–π‘›π‘”π‘ 
(Re)Intro to Linear Equations 𝐴𝑛 π‘–π‘›π‘‘π‘’π‘Ÿπ‘π‘’π‘π‘‘ 𝑖𝑠 π‘‘π‘€π‘œ π‘‘β„Žπ‘–π‘›π‘”π‘  An intercept And A point

18 (Re)Intro to Linear Equations
You will always have four things to account for in every linear equation: 𝑦= π‘₯= π‘š= 𝑏=

19 (Re)Intro to Linear Equations
𝑦= π‘₯= π‘š= 𝑏= Write the equation of a line with the point (2,-5) and the y-intercept of 6

20 Write the equation with slope 4 and coordinate (0,9)
(Re)Intro to Linear Equations 𝑦= π‘₯= π‘š= 𝑏= Write the equation with slope 4 and coordinate (0,9)

21 Parallel lines have the same slope
(Re)Intro to Linear Equations Parallel lines have the same slope

22 Perpendicular lines have a slope identity of -1
(Re)Intro to Linear Equations Perpendicular lines have a slope identity of -1

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