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Pearson Algebra 2 Common Core, 2011 View details

3. Linear Functions and Slope-Intercept Form

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Exercise 32 Page 78

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.

5x-2y=-4

AddEqn

LHS+2y=RHS+2y

5x=-4+2y

AddEqn

LHS+4=RHS+4

5x+4=2y

DivEqn

.LHS /2.=.RHS /2.

5/2x+2=y

RearrangeEqn

Rearrange equation

y=5/2x+2

Below we highlight the slope m and y-intercept b. y=5/2x+ 2 The slope is 52. The y-intercept is 2, so the graph crosses the y-axis at the point (0, 2).

Graphing the Equation

A slope of 52 means that for every 2 units we move in the positive horizontal direction, we move 5 units in the positive vertical direction. m=5/2 ⇔ rise/run=5/2 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 32 Page 78

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Practice exercises

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Identifying Slope and Intercept

Graphing the Equation