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Pearson Algebra 1 Common Core, 2011

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Pearson Algebra 1 Common Core, 2011 View details

3. Slope-Intercept Form

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Exercise 40 Page 313

What do m and b represent in the slope-intercept form?

Slope: 3/2
y-intercept: 3

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+ b Let'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.

2y-6=3x

LHS+6=RHS+6

2y=3x+6

▼

.LHS /2.=.RHS /2.

.LHS /2.=.RHS /2.

y=3x+6/2

Write as a sum of fractions

y=3x/2+6/2

MovePartNumRight

a* b/c=a/c* b

y=3/2x+6/2

Calculate quotient

y= 3/2x+ 3

We can see that the slope is 32 and the y-intercept is 3.

Subchapter links

Lesson Check p.311

Practice and Problem-Solving Exercises p.312-314

Standardized Test Prep p.314

Mixed Review p.314