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Pearson Algebra 2 Common Core, 2011 View details

3. Linear Functions and Slope-Intercept Form

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Exercise 42 Page 79

What information can you learn from the slope-intercept form of an equation?

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 the 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.

4x-3y=-6

AddEqn

LHS+3y=RHS+3y

4x=-6+3y

AddEqn

LHS+6=RHS+6

4x+6=3y

DivEqn

.LHS /3.=.RHS /3.

4/3x+2=y

RearrangeEqn

Rearrange equation

y=4/3x+2

Below we highlight the slope m and y-intercept b. y= 4/3x+ 2 The slope is 43. The y-intercept is 2, so the graph crosses the y-axis at the point (0, 2).

Graphing the Equation

A slope of 43 means that for every 3 units we move in the positive horizontal direction, we move 4 units in the positive vertical direction. m= 4/3 ⇔ rise/run=4/3 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 42 Page 79

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Practice exercises

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Identifying the Slope and Intercept

Graphing the Equation