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Pearson Algebra 2 Common Core, 2011 View details

3. Linear Functions and Slope-Intercept Form

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Exercise 43 Page 79

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

Practice makes perfect

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.

Identifying Slope and Intercept

Since the given equation is not in slope-intercept form, let's rewrite it so that it will be easier to identify the slope and y-intercept.

2/3x+y/3=-1/3

MultEqn

LHS * 3=RHS* 3

2x+y=-1

SubEqn

LHS-2x=RHS-2x

y=-2x-1

Below we highlight the slope m and y-intercept b. y=-2x - 1 ⇔ y=-2x+( -1) The slope is -2. The y-intercept is - 1, so the graph crosses the y-axis at the point (0, - 1).

Graphing the Equation

A slope of -2 means that for every 1 unit we move in the positive horizontal direction, we move 2 units in the negative vertical direction. m=-2/1 ⇔ rise/run=-2/1 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

Exercise 43 Page 79

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Identifying Slope and Intercept

Graphing the Equation