unit 1 – linear systems lesson 2: graphing linear relations and writing equations learning goals:...

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Unit 1 – Linear Systems Lesson 2: Graphing Linear Relations and Writing Equations Learning Goals: I can graph linear relations using: the x and y-intercepts or the slope and y-intercept I can determine the number of solutions in a linear system by analyzing the slope

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Page 1: Unit 1 – Linear Systems Lesson 2: Graphing Linear Relations and Writing Equations Learning Goals: I can graph linear relations using: the x and y-intercepts

Unit 1 – Linear Systems

Lesson 2: Graphing Linear Relations and Writing Equations

Learning Goals: I can graph linear relations using:

the x and y-intercepts or the slope and y-intercept

I can determine the number of solutions in a linear system by analyzing the slope

Page 2: Unit 1 – Linear Systems Lesson 2: Graphing Linear Relations and Writing Equations Learning Goals: I can graph linear relations using: the x and y-intercepts

Unit 1 – Linear Systems

Lesson 2: Graphing Linear Relations and Writing Equations

What are the two ways that we can graph a linear relation?

1)Slope Y-Intercept Form2) X and Y Intercepts

Page 3: Unit 1 – Linear Systems Lesson 2: Graphing Linear Relations and Writing Equations Learning Goals: I can graph linear relations using: the x and y-intercepts

Unit 1 – Linear Systems

1) Slope Y-Intercept Method

Steps:• Rearrange the equation in the form y = mx

+ b where m is the _________ and is the _____________ of the line

• Plot the y-intercept.• Use m = rise/run to plot another point.• Draw a line through the points.

Lesson 2: Graphing Linear Relations and Writing Equations

Page 4: Unit 1 – Linear Systems Lesson 2: Graphing Linear Relations and Writing Equations Learning Goals: I can graph linear relations using: the x and y-intercepts

Unit 1 – Linear Systems

Example 1: Graph the following equations using Slope/Y-Intercept Method: a) b)

Lesson 2: Graphing Linear Relations and Writing Equations

Page 5: Unit 1 – Linear Systems Lesson 2: Graphing Linear Relations and Writing Equations Learning Goals: I can graph linear relations using: the x and y-intercepts

Unit 1 – Linear Systems

Lesson 2: Graphing Linear Relations and Writing Equations

Is your POI correct? Left Side/Right Side check.

You must perform the Left Side/Right Side Check for each equation! Both must be true statements!

LS RS LS RS

Page 6: Unit 1 – Linear Systems Lesson 2: Graphing Linear Relations and Writing Equations Learning Goals: I can graph linear relations using: the x and y-intercepts

Unit 1 – Linear Systems

2) X and Y Intercepts

Steps:• To find the x-intercept• To find the y-intercept• Plot both points and draw a line through them

Lesson 2: Graphing Linear Relations and Writing Equations

Page 7: Unit 1 – Linear Systems Lesson 2: Graphing Linear Relations and Writing Equations Learning Goals: I can graph linear relations using: the x and y-intercepts

Unit 1 – Linear Systems

Example 2: Plot the following equation using the x and y intercepts: 8x – 2y + 16 = 0

Lesson 2: Graphing Linear Relations and Writing Equations

Page 8: Unit 1 – Linear Systems Lesson 2: Graphing Linear Relations and Writing Equations Learning Goals: I can graph linear relations using: the x and y-intercepts

Lesson 2 – Determining the Number of Solutions

Determine the number of solutions for the following linear systems (without graphing!):Hint: compare the slopes (m) and y-intercepts (b)y = 2x -1 y = 4x +7y = y =

y = 7x + 2 5x – 2y +3 = 0-14x + 2y -10 = 0 12x + 6y = -4

Page 9: Unit 1 – Linear Systems Lesson 2: Graphing Linear Relations and Writing Equations Learning Goals: I can graph linear relations using: the x and y-intercepts

Lesson 2 – Determining the Number of SolutionsFor the following line, write 3 more equations that

satisfy the conditions below. y = ½x - 3

sample equation explanation

One Solution

No Solution

Infinite Solutions

TLW identify linear equations and intercepts

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