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

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 Form 2) 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

Unit 1 – Linear Systems Lesson 2: Graphing Linear Relations and Writing Equations

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

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

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

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)

Lesson 2 – Determining the Number of Solutions For the following line, write 3 more equations that satisfy the conditions below.y = ½x - 3 sample equation explanation One Solution No Solution Infinite Solutions