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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 44 Page 313

Rewrite the equation in slope-intercept form.

Slope: - 3
y-intercept: - 2n

Practice makes perfect

Let's start by recalling the slope-intercept form of a line. y= mx+ bHere, m represents the slope of the line and b the y-intercept. We will rewrite the given equation in slope-intercept form. To do so, we will use inverse operations and Properties of Equality.

2y+4n=- 6x

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Write in slope-intercept form

LHS-4n=RHS-4n

2y=- 6x-4n

.LHS /2.=.RHS /2.

y=- 6x-4n/2

Write as a difference of fractions

y=- 6x/2-4n/2

MovePartNumRight

a* b/c=a/c* b

y=- 6/2x-4/2n

MoveNegNumToFrac

Put minus sign in front of fraction

y=- 6/2x-4/2n

Calculate quotient

y=- 3x-2n

Let's now identify the slope and y-intercept. y=- 3x-2n ⇔ y= - 3x+( - 2n) We see above that the slope is - 3 and the y-intercept is - 2n.

Subchapter links

Lesson Check p.311

Practice and Problem-Solving Exercises p.312-314

Standardized Test Prep p.314

Mixed Review p.314