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Do Now Graph 2x + 4y = 8. Find the intercepts.
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3.5 Graphing Linear Equations in Slope-Intercept Form
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Slope The slope m of a nonvertical line passing through two points (x 1, y 1 ) and (x 2,y 2 ) is the ratio of the rise to the run.
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4 Types of Slope Positive: The line rises from left to right. Negative: The line falls from left to right. Zero: Horizontal Line Undefined Vertical Line
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Example 1
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Example 2
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Example 3
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Example 4 What is the slope of the line?
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Time to…. PRACTICE PRACTICE PRACTICE
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3.5 Day 2 Slope-Intercept Form
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Slope-Intercept Form Slope-intercept form is written as y= mx + b. A linear equation written in the form y = 0x + b is a constant function.
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Steps to Using Slope- Intercept Form to Graph A)Solve for y. B)Find the slope and the y- intercept. C)Plot the y-intercept. D)Use the slope to find another point on the line.
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Example 6 Graph 2x + y = 2.
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Example 7 Graph y = 4x – 4.
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Example 8 A submersible that is exploring the ocean floor begins to ascend to the surface. The elevation h (in feet) of the submersible is modeled by the function h(t) = 650t – 13,000, where t is the time (in minutes) since the submersible began to ascend. a)Graph the function and identify its domain and range. b)Interpret the slope and intercepts of the graph.
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