News
Get Premium
Dashboard
Dashboard Sign out
Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
5. Graphing Linear Equations in Slope-Intercept Form
Continue to next subchapter
search

Exercise 58 Page 144

In what form must you be able to write all linear functions?

Linear function, see solution.

Practice makes perfect
Consider the given equation. x=3+15yWe want to determine whether the equation represents a linear or nonlinear function. To do so, remember that all linear equations must be able to be written in slope-intercept form. y=mx+b Here, m represent the slope and b indicates the y-intercept. These are the general characteristics or parameters of the line. If we change either of these parameters, the function's graph will change too. Let's solve the given equation for y to see if it can be written in this form.
x=3+15y
RearrangeEqn

Rearrange equation

3+15y=x
SubEqn

LHS-3=RHS-3

15y=x-3
DivEqn

.LHS /15.=.RHS /15.

y=x-3/15
WriteDiffFrac

Write as a difference of fractions

y=x/15-3/15
ReduceFrac

a/b=.a /3./.b /3.

y=x/15-1/5
MoveRightFacToNumOne

1/b* a = a/b

y=1/15x-1/5
This equation is now in slope-intercept form with a slope of 115 and a y-intercept of - 15. Therefore, the function is linear.

Extra

 Linear Function

More information about linear functions can be found on the following pages.

Subchapter links expand_more
arrow_right Communicate Your Answer p.135
3
arrow_right Monitoring Progress p.136-140
Monitoring Progress 1 (Page 136)
Monitoring Progress 2 (Page 136)
Monitoring Progress 3 (Page 136)
Monitoring Progress 4 (Page 137)
Monitoring Progress 5 (Page 137)
Monitoring Progress 6 (Page 138)
Monitoring Progress 7 (Page 138)
Monitoring Progress 8 (Page 138)
Monitoring Progress 9 (Page 139)
Monitoring Progress 10 (Page 139)
Monitoring Progress 11 (Page 139)
Monitoring Progress 12 (Page 139)
Monitoring Progress 13 (Page 140)
arrow_right Exercises p.141-144
Exercises 1 (Page 141)
Exercises 2 (Page 141)
Exercises 3 (Page 141)
Exercises 4 (Page 141)
Exercises 5 (Page 141)
Exercises 6 (Page 141)
Exercises 7 (Page 141)
Exercises 8 (Page 141)
Exercises 9 (Page 141)
Exercises 10 (Page 141)
Exercises 11 (Page 141)
Exercises 12 (Page 141)
Exercises 13 (Page 141)
Exercises 14 (Page 141)
Exercises 15 (Page 142)
Exercises 16 (Page 142)
Exercises 17 (Page 142)
Exercises 18 (Page 142)
Exercises 19 (Page 142)
Exercises 20 (Page 142)
Exercises 21 (Page 142)
Exercises 22 (Page 142)
Exercises 23 (Page 142)
Exercises 24 (Page 142)
Exercises 25 (Page 142)
Exercises 26 (Page 142)
Exercises 27 (Page 142)
Exercises 28 (Page 142)
Exercises 29 (Page 142)
Exercises 30 (Page 142)
Exercises 31 (Page 142)
Exercises 32 (Page 142)
Exercises 33 (Page 142)
Exercises 34 (Page 142)
Exercises 35 (Page 142)
Exercises 36 (Page 142)
Exercises 37 (Page 142)
Exercises 38 (Page 142)
Exercises 39 (Page 142)
Exercises 40 (Page 143)
Exercises 41 (Page 143)
Exercises 42 (Page 143)
Exercises 43 (Page 143)
Exercises 44 (Page 143)
Exercises 45 (Page 143)
Exercises 46 (Page 143)
Exercises 47 (Page 144)
Exercises 48 (Page 144)
Exercises 49 (Page 144)
Exercises 50 (Page 144)
Exercises 51 (Page 144)
Exercises 52 (Page 144)
Exercises 53 (Page 144)
Exercises 54 (Page 144)
Exercises 55 (Page 144)
Exercises 56 (Page 144)
Exercises 57 (Page 144)
Exercises 58 (Page 144)
Exercises 59 (Page 144)
Exercises 60 (Page 144)