News
Get Premium
Dashboard

Dashboard Sign out
Big Ideas Math: Modeling Real Life, Grade 8
BI
Big Ideas Math: Modeling Real Life, Grade 8 View details
2. Representations of Functions
Continue to next subchapter
search

Exercise 4 Page 286

Given a graph, can you think of two different ways to find the slope?

1

Practice makes perfect

Observing the given graph, we can see that the line passes through the points (1,2) and (3,4). One way to use a graph to find the slope of a line is to count out the change in x and y.

We can see that as the graph travels from left to right, the rise, or change in y, is 2. Similarly, the run, or change in x, is 2. slope=rise/run ⇔ m=2/2=1 We can confirm this answer by using the Slope Formula. m = y_2-y_1/x_2-x_1 We will use the given points to solve for the slope.
m = y_2-y_1/x_2-x_1
SubstitutePoints

Substitute ( 1,2) & ( 3,4)

m=4- 2/3- 1
SubTerm

Subtract term

m=2/2
QuotOne

a/a=1

m=1
We obtained the same number as before. We can be sure the slope is 1.
Subchapter links expand_more
arrow_right Try It p.282-283
1
Try It 2 (Page 282)
Try It 3 (Page 282)
Try It 4 (Page 282)
Try It 5 (Page 283)
Try It 6 (Page 283)
Try It 7 (Page 283)
arrow_right Self-Assessment for Concepts & Skills p.284
Self-Assessment for Concepts & Skills 8 (Page 284)
Self-Assessment for Concepts & Skills 9 (Page 284)
Self-Assessment for Concepts & Skills 10 (Page 284)
Self-Assessment for Concepts & Skills 11 (Page 284)
Self-Assessment for Concepts & Skills 12 (Page 284)
Self-Assessment for Concepts & Skills 13 (Page 284)
Self-Assessment for Concepts & Skills 14 (Page 284)
Self-Assessment for Concepts & Skills 15 (Page 284)
16
arrow_right Self-Assessment for Problem Solving p.285
17
18
arrow_right Review & Refresh p.286
Review & Refresh 1 (Page 286)
Review & Refresh 2 (Page 286)
Review & Refresh 3 (Page 286)
Review & Refresh 4 (Page 286)
Review & Refresh 5 (Page 286)
Review & Refresh 6 (Page 286)
arrow_right Concepts, Skills, & Problem Solving p.286-288
7
8
Concepts, Skills, & Problem Solving 9 (Page 286)
Concepts, Skills, & Problem Solving 10 (Page 286)
Concepts, Skills, & Problem Solving 11 (Page 286)
Concepts, Skills, & Problem Solving 12 (Page 286)
Concepts, Skills, & Problem Solving 13 (Page 286)
Concepts, Skills, & Problem Solving 14 (Page 286)
Concepts, Skills, & Problem Solving 15 (Page 287)
Concepts, Skills, & Problem Solving 16 (Page 287)
Concepts, Skills, & Problem Solving 17 (Page 287)
Concepts, Skills, & Problem Solving 18 (Page 287)
Concepts, Skills, & Problem Solving 19 (Page 287)
Concepts, Skills, & Problem Solving 20 (Page 287)
Concepts, Skills, & Problem Solving 21 (Page 287)
Concepts, Skills, & Problem Solving 22 (Page 287)
Concepts, Skills, & Problem Solving 23 (Page 287)
Concepts, Skills, & Problem Solving 24 (Page 287)
Concepts, Skills, & Problem Solving 25 (Page 287)
Concepts, Skills, & Problem Solving 26 (Page 287)
27
28
29
30
31
32
Concepts, Skills, & Problem Solving 33 (Page 287)
Concepts, Skills, & Problem Solving 34 (Page 287)
Concepts, Skills, & Problem Solving 35 (Page 287)
Concepts, Skills, & Problem Solving 36 (Page 288)
Concepts, Skills, & Problem Solving 37 (Page 288)
38
39
Concepts, Skills, & Problem Solving 40 (Page 288)
Concepts, Skills, & Problem Solving 41 (Page 288)