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Big Ideas Math: Modeling Real Life, Grade 8

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

6. Writing Equations in Slope-Intercept Form

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Exercise 2 Page 177

Apply inverse operations to isolate y and write the linear equation in slope-intercept form.

y=x-1/5

Practice makes perfect

An equation in slope-intercept form follows a specific format. y= mx+ bTo write the given linear equation in slope-intercept form, we will use the Properties of Equality to apply inverse operations on the equation and isolate y. Remember, only like terms can be combined.

x-y=1/5

LHS-x=RHS-x

x-y-x=1/5-x

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Subtract term

CommutativePropAdd

Commutative Property of Addition

- y+x-x=- x+1/5

Subtract term

- y=- x+1/5

Now, we can use the Multiplication Property of Equality to simplify the equation even further.

- y=- x+1/5

LHS * (- 1)=RHS* (- 1)

- y(- 1)=(- x+1/5)(- 1)

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Simplify left-hand side

MultNegNegOnePar

- a(- b)=a* b

y(1)=(- x+1/5)(- 1)

Identity Property of Multiplication

y=(- x+1/5)(- 1)

▼

Simplify right-hand side

Distribute (- 1)

y=(- x)(- 1)+(1/5)(- 1)

MultNegNegTwoPar

(- a)(- b)=a* b

y=x(1)+(1/5)(- 1)

Identity Property of Multiplication

y=x+(1/5)(- 1)

a(- b)=- a * b

y=x-(1/5)(1)

Identity Property of Multiplication

y=x-1/5

Subchapter links

Try It p.174-175

Self-Assessment for Concepts & Skills p.175

Self-Assessment for Problem Solving p.176

Review & Refresh p.177

Concepts, Skills, & Problem Solving p.177-178