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Published byAlexandra Dawson Modified over 6 years ago
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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.
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Slope-Intercept Form of an equation.
Learn it, Love it, Live it. y = mx + b Slope-Intercept Form
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m = slope b = y-intercept
Slope-Intercept Form y = mx + b slope y-intercept m = slope b = y-intercept
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Example Identify the slope and y-intercept. a.) y = -2x + 3 b.) y =
Slope = y-intercept = 3 Slope -2/ y-intercept = 2
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Identify the slope and y-intercept
Practice Identify the slope and y-intercept a.) y = 6x d.) y = -2 b.) y = 3x – 7 e.) y = x + 5 c.) y = 2x – f.) y = 4x + 4
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Getting more difficult
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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 = y-intercept = -11
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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 Slope: ½ y-intercept: -6 y =
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Even More Examples 12x + 4y = 24 3x + 4y = 16 -12x -12x - 3x -3x
y = -3/4x + 4 y = -3x + 6 Slope : y-intercept: 6 Slope: -3/4 y-intercept: 4
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Practice (Rewrite in Slope Intercept)
a.) 7y – 14x = b.) 5x – y = 3 y = -2x y = 5x - 3 y = y = -5x + 3 y = 2x y = -5x - 3
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