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## Slope – Intercept Form

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**Objective:**• Students will investigate graphs to determine what the coefficients and constants represent in the slope-intercept form equation. • Students will create equations in slope-intercept form given the slope and the y-intercept. • Students will be able to graph linear equations given in slope-intercept form using only the slope and the y-intercept.**ACTIVITY!**QUICKLY get into a group of 2 or 3. One person needs to record thoughts from the group members and one person needs to make sure that the group stays on task.**Look at these two graphs closely, what observations can you**make relating the graph to the formula? 5 4 1 2 y = x + 2 y = - x – 1**Let’s Discuss!**What are your thoughts about the graphs and how they relate to their formulas? Given the following formula, what can you tell me about each letter? (Use mathematical terms!!) y = mx + b slope–intercept form**Write an Equation!**Write an equation in slope-intercept form given the slope of 3 and a y – intercept of 7 y = 3x + 7 Write an equation in slope-intercept form given the slope of -2 and a y – intercept of -1 y = -2x -1** Your Turn! **Write an equation in slope-intercept form given the slope of ½ and a y – intercept of 4 y = ½ x + 4 Write an equation in slope-intercept form given the slope of ⅗ and a y – intercept of -5 y = ⅗x – 5**Let’s go the other way…**Given the following linear equation, determine the slope and the y – intercept. y = ⅔x + 5 m = ⅔ y – intercept = 5 y = -3x m = -3 y – intercept = 0 -3x + y = 8 OH NO!! WHAT FORM IS THIS IN?! WHAT FORM SHOULD IT BE IN?! y = 3x + 8 m = 3 y – intercept = 8** Your Turn! **Given the following linear equation, determine the slope and the y – intercept. 1) y = 4x + 7 m = 4 y – intercept = 7 2) 2x + y = -4 y = -2x – 4 (change from standard form to slope-intercept form!) m = -2 y – intercept = -4**Let’s Graph!**Use only the slope and y-intercept to graph the equation. y = -x + 5 3x + y = 9