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Published byHillary Hampton Modified over 6 years ago

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Warmups Determine the slope of the line passing through: (2,7) (4,-5) Find the slope of each equation: 3x – 6y = y – 2=3(x-1) Find the x- and y-intercepts: 2x + 5y = 20 y= -2x – 4

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**6-5 Graphing Linear Equations**

Objective: To graph a line in slope-intercept form.

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Slope – Intercept Form y = mx +

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**Slope-Intercept Form y = mx + b x & y will stay letters**

m = slope, written as a fraction b = y-intercept, (0,b)

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**Steps to Graph Graph b (y-intercept) on the y-axis**

Use slope (as a fraction) to find your next point - rise/ run from the y-intercept Example 1: graph y = -1/3 x + 4 m = -1 = 1 = rise run b = (0,4) start here y-intercept

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**Example 2 graph y = x – 5 m = 1 = -1 = rise 1 -1 run B = (0,-5)**

start here!

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**Example 3 graph y = 4x m = 4 = -4 = rise 1 -1 run B = (0,0)**

start here!

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**Example 4 (it’s standard form)**

graph 3x + 2y = 12 Use the x- and y-intercepts to graph! Hint: cover up method

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Examples 5 & 6 graph y = -3x + 4

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Examples 7 & 8 graph

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Homework Graphing using slope-intercept form 6-5 Practice

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