4.7 Graphing Lines Using Slope-Intercept Form

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Presentation transcript:

4.7 Graphing Lines Using Slope-Intercept Form We have learned to graph lines a.) Creating a chart b.) Using x/y intercept Today Slope-Intercept form.

Slope-Intercept Form of an equation. Learn it, Love it, Live it. y = mx + b Slope-Intercept Form

m = slope b = y-intercept Slope-Intercept Form y = mx + b slope y-intercept m = slope b = y-intercept

Example Identify the slope and y-intercept. a.) y = -2x + 3 b.) y = Slope = -2 y-intercept = 3 Slope -2/3 y-intercept = 2

Identify the slope and y-intercept Practice Identify the slope and y-intercept a.) y = 6x + 4 d.) y = -2 b.) y = 3x – 7 e.) y = x + 5 c.) y = 2x – 9 f.) y = 4x + 4

Getting more difficult

Slope-Intercept Form Identify the slope and y-intercept 3x + y = -11 Problem : It is not in Slope-Intercept form You MUST rewrite the equation (get y alone) 3x + y = -11 -3x = -3x Now Identify Slope & y-intercept y = -3x –11 Slope = -3 y-intercept = -11

Find the slope and y-intercept. More Examples Find the slope and y-intercept. 2y + 12 = x (Change to slope intercept) 2y + 12 = x -12 = -12 2y = x - 12 2 2 2 Slope: ½ y-intercept: -6 y = - 6

Even More Examples 12x + 4y = 24 3x + 4y = 16 -12x -12x - 3x -3x 4 4 4 4 4 4 y = -3/4x + 4 y = -3x + 6 Slope : -3 y-intercept: 6 Slope: -3/4 y-intercept: 4

Practice (Rewrite in Slope Intercept) a.) 7y – 14x = 28 b.) 5x – y = 3 y = -2x + 4 y = 5x - 3 y = y = -5x + 3 y = 2x + 4 y = -5x - 3