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Pearson Algebra 2 Common Core, 2011

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Pearson Algebra 2 Common Core, 2011 View details

3. Linear Functions and Slope-Intercept Form

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Exercise 30 Page 78

What information does a slope-intercept form equation give you?

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Equations written in slope-intercept form follow a specific format. y=mx+ b In this form, m represents the slope of the line and b represents the y-intercept. Below we highlight the slope m and y-intercept b.

y=3x - 2 ⇔ y=3x+( -2) The slope is 3. The y-intercept is -2, so the graph crosses the y-axis at the point (0, -2).

Graphing the Equation

A slope of 3 means that for every 1 unit we move in the positive horizontal direction, we move 3 units in the positive vertical direction. m=3/1 ⇔ rise/run=3/1 To graph the equation, plot the y-intercept and then use the slope to find another point on the line.

Subchapter links

Lesson Check p.78

Practice and Problem-Solving Exercises p.78-80

Standardized Test Prep p.80

Mixed Review p.80