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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 25 Page 78

What do m and b represent in y=mx+b?

Equation: y=-4/3x+5/6
Slope: -4/3
y' -intercept:' 5/6

Practice makes perfect

Equations in slope-intercept form follow a specific format, where m represents the slope of the line and b is the y-intercept. y= mx+ bLet's rewrite our equation a little bit so that it more closely resembles this format. This will make it easier to identify the features of the equation.

8x+6y=5

LHS-8x=RHS-8x

6y=5-8x

.LHS /6.=.RHS /6.

y=5-8x/6

Write as a sum of fractions

y=5/6-8x/6

CommutativePropMult

Commutative Property of Multiplication

y=-8x/6+5/6

MovePartNumRight

a* b/c=a/c* b

y=-8/6x+5/6

a/b=.a /2./.b /2.

y=-4/3x+5/6

Below we have highlighted the slope m and y-intercept b. y= -4/3x+ 5/6 We can see that the slope is - 43 and the y-intercept is 56.

Subchapter links

Lesson Check p.78

Practice and Problem-Solving Exercises p.78-80

Standardized Test Prep p.80

Mixed Review p.80