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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 26 Page 78

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

Equation: y=9/2x-5
Slope: 9/2
y' -intercept:' -5

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.

9x-2y=10

LHS+2y=RHS+2y

9x=10+2y

LHS-10=RHS-10

9x-10=2y

.LHS /2.=.RHS /2.

9x-10/2=y

Write as a sum of fractions

9x/2-10/2=y

Calculate quotient

9x/2-5=y

MovePartNumRight

a* b/c=a/c* b

9/2x-5=y

Rearrange equation

y=9/2x-5

a-b = a+(- b)

y=9/2x+(-5)

The given equation is already in this form. Below we have highlighted the slope m and y-intercept b. y= 9/2x+( -5) We can see that the slope is 9/2 and the y-intercept is -5.

Subchapter links

Lesson Check p.78

Practice and Problem-Solving Exercises p.78-80

Standardized Test Prep p.80

Mixed Review p.80