

8 Translating to y = mx + b
Presentation
•
Mathematics
•
7th - 9th Grade
•
Medium
+4
Standards-aligned
Jennifer Hauptman
Used 5+ times
FREE Resource
6 Slides • 8 Questions
1
8 Translating to
y = mx + b

2
Remember that a TRANSLATION is a slide. To translate an object, slide it!
3
Multiple Choice
Which transformation is a translation?
A
B
C
D
4
Multiple Select
The diagram shows several lines. You can only see part of the lines, but they actually continue forever in both directions. Which lines are images of line f under a translation?
g
h
i
j
5
Lines h and i are translations of line f.
They appear to be parallel to f, and translated lines are parallel to the original.
h is f translated up 6 units. i is f translated down 2 units.
6
Fill in the Blanks
Diego earns $10 per hour babysitting. Assume that he has
no money saved before he starts babysitting. Write an equation to represent how much money, y, he has after x hours of babysitting. What number goes in the blank: y =
Type answer...
7
Graph it!
Now let's graph the relationship between how many hours Diego works and how much he is paid. The axes are labeled on the right. On the next slide, I will ask you to choose points that will be on the graph.
8
Multiple Select
We said Diego earns $10 an hour babysitting and represented the amount he earns (y) based on the number of hours he works (x) with the equation y = 10x. Which of the following points could be on the graph of this equation?
(0, 0)
(10, 1)
(2, 20)
(5, 25)
(7, 70)
9
You're doing an awesome job!
Here's what the graph to represent this situation looks like...
10
Multiple Select
In the equation y = 10x, what does the 10 represent in this situation? Select all that apply!
Diego is 10 years old.
Diego gets paid $10 per hour.
Diego works for 10 hours.
The slope of the line.
The y-intercept of the line.
11
Open Ended
What if Diego has $30 in savings before he starts babysitting? How will this affect the graph? Will it change the slope of the line? Will it change the y-intercept of the line? What do you think???
12
Multiple Select
We are still thinking about how much money Diego will have if he earns $10 an hour babysitting. This time, however, let's calculate his total given that he already has $30. Which points could appear on this graph?
(0, 30)
(1, 10)
(2, 50)
(3, 30)
(5, 80)
13
Here's how the new line would look. (It's the one in blue!) Notice that it's a translation of the first line we looked at.
14
Multiple Choice
So, if the equation to represent the amount of money Diego has was originally written as y = 10x, what is the equation to represent how much he has if he starts with $30 and then earns $10 for each hour worked?
y = 10x
y = 30x
y = 10x + 30
y = 30x + 10
8 Translating to
y = mx + b

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