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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
4. Comparing Linear and Nonlinear Functions
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Exercise 9 Page 299

Isolate the y-variable.

Linear, see solution.

Practice makes perfect

Without graphing, we want to determine whether the given equation represents a linear or nonlinear function. To do so, we will isolate the y-variable.

2x+3y=7
SubEqn

LHS-2x=RHS-2x

2x+3y-2x=7-2x
â–¼
Solve for y
SubTerm

Subtract term

3y=7-2x
DivEqn

.LHS /3.=.RHS /3.

3y/3=7-2x/3
CrossCommonFac

Cross out common factors

3y/3=7-2x/3
SimpQuot

Simplify quotient

y=7-2x/3
WriteDiffFrac

Write as a difference of fractions

y=7/3-2x/3
CommutativePropAdd

Commutative Property of Addition

y=- 2x/3+7/3
MovePartNumRight

a* b/c=a/c* b

y= - 2/3x+7/3

The equation can be written in slope-intercept form. Therefore, its graph is a straight line. This means that the function is linear.

Subchapter links expand_more
arrow_right Try It p.296-297
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Try It 2 (Page 296)
Try It 3 (Page 296)
Try It 4 (Page 296)
Try It 5 (Page 296)
Try It 6 (Page 296)
Try It 7 (Page 297)
arrow_right Self-Assessment for Concepts & Skills p.297
Self-Assessment for Concepts & Skills 8 (Page 297)
Self-Assessment for Concepts & Skills 9 (Page 297)
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arrow_right Self-Assessment for Problem Solving p.298
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arrow_right Review & Refresh p.299
Review & Refresh 1 (Page 299)
Review & Refresh 2 (Page 299)
Review & Refresh 3 (Page 299)
Review & Refresh 4 (Page 299)
arrow_right Concepts, Skills, & Problem Solving p.299-300
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Concepts, Skills, & Problem Solving 7 (Page 299)
Concepts, Skills, & Problem Solving 8 (Page 299)
Concepts, Skills, & Problem Solving 9 (Page 299)
Concepts, Skills, & Problem Solving 10 (Page 299)
Concepts, Skills, & Problem Solving 11 (Page 299)
Concepts, Skills, & Problem Solving 12 (Page 299)
Concepts, Skills, & Problem Solving 13 (Page 299)
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Concepts, Skills, & Problem Solving 16 (Page 300)
Concepts, Skills, & Problem Solving 17 (Page 300)
Concepts, Skills, & Problem Solving 18 (Page 300)
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