Lesson 8 Graphing Multi Variable Equations Standard and

Lesson 8: Graphing Multi. Variable Equations

Standard and Objectives • A. CED. 2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. • SWBAT graph multi-variable equations from an equation in slope-intercept form • SWBAT graph multi-variable equations from equations not in slope-intercept form • SWBAT graph a multi-variable equation from a table

Vocabulary • Y-intercept (b) – Shows where you START ___________. Also where the Y-AXIS graph crosses the _________. CONSTANT Represents the _________. • Slope (m) – Shows how you MOVE _____________. Represents COEFFICIENT/SLOPE the ___________.

Quick Check! Determine the slope and y-intercept for each of the following linear equations. 1. y = 2/3 x + 1 2. y = 5 x – 2 3. y = -4 x – 6 4. y = 1/4 x – 7

Graphing a Linear Equation Y-INTERCEPT 1. Plot the _________ SLOPE 2. Use the ________ to plot the second point. Move up (+) or down (–) the number of spaces of the rise Move right (+) or left (–) the number of spaces of the run

Example 1 Given the equation y = 2/3 x + 1, determine the slope and y-intercept and then graph the equation.

Example 2 Graph the Linear Equation from the table on your calculator Graph y = 3 x – 2

Example 3 Re-write an equation in slope-intercept form and then graph the equation. Graph 2 x + 4 y = 12

Example 4 Determine which equation fits the values in the table X Y A) B) C) D) -5 -22 y=x+3 y = 2 x – 5 y = 4 x – 2 y = 5 x + 3 -2 -10 2 6 4 14

Example 5 Determine which equation fits the values in the table X Y A) B) C) D) -3 6 y = -2 x y = 2 x – 12 y = 3 x + 3 y = -x + 3 -1 4 3 0 6 -3