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Big Ideas Math: Modeling Real Life, Grade 8

BI

Big Ideas Math: Modeling Real Life, Grade 8 View details

Chapter Review

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Exercise 32 Page 190

Apply inverse operations to isolate y.

y= - 2x-6

Practice makes perfect

Rewriting any linear equation in the slope-intercept form requires us to isolate the y-variable. To do this, we will use the Properties of Equality to apply inverse operations on the equation.

4x+2y=- 12

LHS-4x=RHS-4x

4x+2y-4x=- 12 - 4x

Subtract term

2y=- 12 - 4x

.LHS /2.=.RHS /2.

2y/2=- 12-4x/2

Write as a sum of fractions

2y/2=- 12/2-4x/2

Cross out common factors

2y/2=- 12/2-4x/2

Simplify quotient

y=- 12/2-4x/2

Calculate quotient

y=- 6 -2x

CommutativePropAdd

Commutative Property of Addition

y= -2x-6

Subchapter links

1 Graphing Linear Equations p.187

2 Slope of a Line p.188

3 Graphing Proportional Relationships p.188-189

4 Graphing Linear Equations in Slope-Intercept Form p.189

5 Graphing Linear Equations in Standard Form p.190

6 Writing Equations in Slope-Intercept Form p.190-191

7 Writing Equations in Point-Slope Form p.191