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5-3 Slope-Intercept Form

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Linear Equation: an equation that models a linear function The graph of a linear equation contains all the ordered pairs that are solutions of the equation

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y-intercept: the y-coordinate of a point where the graph crosses the y-axis

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Slope-Intercept Form Slope y-intercept

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Problem 1: Identifying Slope and y-intercept

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Problem 2: Writing an Equation in Slope- Intercept Form

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Problem 3: Writing an Equation From a Graph

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What is the equation of the line shown?

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Problem 4: Writing an Equation From Two Points What equation in slope-intercept form represents the line that passes through the points (2,1) and (5,–8)?

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What equation in slope-intercept form represents the line that passes through the points (3,–2) and (1,–3)

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Problem 5: Graphing a Linear Equation

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Problem 6: Modeling a Function Water pressure can be measured in atmospheres (atm). Use the information in the diagram to write an equation that models the pressure y at a depth of x meters. What graph models the pressure?

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Identify the Slope y-intercept Substitute the slope and y-intercept into the slope-intercept form Graph on the next slide

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