It was a typical Monday for Garfield.
He slept all day long, dreaming of him
in a carnival with Pooky, his bestfriend toy.
That was the best
rollercoaster ride
ever!
Hmm.. I wonder
where Pooky is.
Maybe I left him
on the bed again.
Where’s
Pooookkkyyyy?! I
left him on my bed
and now he’s
gone!
I knew it! That
Odie is making fun
out of me. And he
left a letter. How
sweet!
He said that the
only way I could
get Pooky back is
to play his game.
Darn!
What’s up pussy?! Wanna
play a game? I got one and
it is starting now. I got
your Pooky. Let me give you
a clue on how to get to my
next love letter that will tell
where Pooky is. But you
gotta need some
Mathematics skills. Here’s
the first clue:
Here are two points in a linear function.
Its slope will tell you the number of steps
you must take, 53O east of south from your
bedroom. You better get the answer fast or
else you wouldn’t get Pooky back!
(-7,18), (-10, -12)
(Click the paw print to return to Garfield)
Hmmm… that was
quite difficult. But I
think I can solve it.
Slope? What’s a slope?
Aahhh yes! It’s the lesson
Mr. De Guzman taught last
week.
He said that we should use
this formula in solving it.
First, determine y2,
y1, x2 and x1 in (-
7,18), (-10, -12) then
place the values in
to get m or the
slope.
In(-7,18), (-10,-12) y2
and y1 is the y-
coordinates of the
second and first
ordered pairs
respectively, which
are -12 and 18.
And the x2 and x1
are the x-
coordinates of the
second and first
ordered pairs
respectively, which
are -10 and 7.
That’s it! Therefore,
the slope is
10!
That means I
should take 10
steps from my
room, 53O east
of south.
From the
room, take
10 steps to
the
southeast!
Here it is! Another
love letter from my
dear best friend. Oh!
How sweet of him!
Congrats Pussy! You’ve got the first clue.
So now is the time for the next one.
Here’s a graph of a linear equation. Its rise
and run will tell the number of steps you’ll
take from here. Good luck!
(Click the paw print to return to Garfield)
Uhhh… A graph?!
It’s more difficult
than the first task.
But I’m pretty sure I
can solve this.
The length of those
broken lines is equal to
the steps I’ll take. It is
also the rise and the
run or the slope.
To get the slope, I need
to determine two points
on the line. And by
observation, we can see
that (-7,5) and (0,7) are
on the line.
We now have two points
and we can solve the
rise and run.
The slope is also known
as the rise over run so
the rise is 5 and run is
14.
-
That means I have to
take 14 steps to the
South (because of the
negative sign) and 5
steps to the east. But
due to the house’s
design, I need to take the
eastward steps first.
5 steps to
the East
then 14
steps to
the south.
Oh yeah! I’m so close to
finding Pooky. Let’s
read Odie’s last love
letter for me.
Great job, little pussy. You have done the
first two clues and now here’s the last
clue. Consider the linear equation below.
Its slope is the number of eastward steps
you’ll take from here. I’M WISHING YOU
A LOT OF LUCK!
(Click the paw print
to return to Garfield)
0=-16X+2Y
This is an easy one!
In an equation, we
can solve for the
slope by using –a/b!
Piece of cake!
In the equation 0=-
16X+2Y, -16 is A and 2
is B. By using –A/B, we
get 8 as the slope.
Eureka!
Which means 8 steps to
the east!
Garfield has reached the place where Odie is waiting.
Hey Odie! I’ve solved all
of your challenges.
Enough already!
Where’s Pooky?
Alright! Chill! You
know that I was just
messing with you.
You’re good. Since
you have solved all my
challenges, here, take
your Pooky back.
Click to
retrieve
Pooky
Kids, let me discuss
SLOPE OF A
LINEAR
FUNCTION
In mathematics, the slope
or gradient of a line
describes its steepness,
incline, or grade.
It is the constant rate of
change of a linear function.
It can be though of as the
ratio of the vertical change
to the horizontal change
between two points on the
graph of a line.
If the two points are (x1,
y1) and (x2, y2), then the
vertical change is y2 - y1
and the horizontal change
is x2 - x1.
Hence, we use the
formula
Graph of f(x) = mx + b
Positive Slope
(the line rises
from left to right)
Graph of f(x) = -mx + b
Negative Slope
(the line falls
from left to right)
Graph of f(x) = b
Zero Slope
(horizontal line; passes
through the y-axis)
SUBMITTED TO:
Mr. Eric De Guzman
Credits to the maker
of Garfield the Movie
and Garfield Comics

slope of a line

  • 3.
    It was atypical Monday for Garfield.
  • 4.
    He slept allday long, dreaming of him
  • 5.
    in a carnivalwith Pooky, his bestfriend toy.
  • 7.
    That was thebest rollercoaster ride ever!
  • 8.
  • 9.
    Maybe I lefthim on the bed again.
  • 11.
    Where’s Pooookkkyyyy?! I left himon my bed and now he’s gone!
  • 12.
    I knew it!That Odie is making fun out of me. And he left a letter. How sweet!
  • 13.
    He said thatthe only way I could get Pooky back is to play his game. Darn!
  • 14.
    What’s up pussy?!Wanna play a game? I got one and it is starting now. I got your Pooky. Let me give you a clue on how to get to my next love letter that will tell where Pooky is. But you gotta need some Mathematics skills. Here’s the first clue:
  • 15.
    Here are twopoints in a linear function. Its slope will tell you the number of steps you must take, 53O east of south from your bedroom. You better get the answer fast or else you wouldn’t get Pooky back! (-7,18), (-10, -12) (Click the paw print to return to Garfield)
  • 16.
    Hmmm… that was quitedifficult. But I think I can solve it.
  • 17.
    Slope? What’s aslope? Aahhh yes! It’s the lesson Mr. De Guzman taught last week.
  • 18.
    He said thatwe should use this formula in solving it.
  • 19.
    First, determine y2, y1,x2 and x1 in (- 7,18), (-10, -12) then place the values in to get m or the slope.
  • 20.
    In(-7,18), (-10,-12) y2 andy1 is the y- coordinates of the second and first ordered pairs respectively, which are -12 and 18.
  • 21.
    And the x2and x1 are the x- coordinates of the second and first ordered pairs respectively, which are -10 and 7.
  • 22.
  • 23.
    That means I shouldtake 10 steps from my room, 53O east of south.
  • 24.
    From the room, take 10steps to the southeast!
  • 25.
    Here it is!Another love letter from my dear best friend. Oh! How sweet of him!
  • 26.
    Congrats Pussy! You’vegot the first clue. So now is the time for the next one. Here’s a graph of a linear equation. Its rise and run will tell the number of steps you’ll take from here. Good luck!
  • 27.
    (Click the pawprint to return to Garfield)
  • 28.
    Uhhh… A graph?! It’smore difficult than the first task. But I’m pretty sure I can solve this.
  • 30.
    The length ofthose broken lines is equal to the steps I’ll take. It is also the rise and the run or the slope.
  • 31.
    To get theslope, I need to determine two points on the line. And by observation, we can see that (-7,5) and (0,7) are on the line.
  • 32.
    We now havetwo points and we can solve the rise and run. The slope is also known as the rise over run so the rise is 5 and run is 14. -
  • 33.
    That means Ihave to take 14 steps to the South (because of the negative sign) and 5 steps to the east. But due to the house’s design, I need to take the eastward steps first.
  • 34.
    5 steps to theEast then 14 steps to the south.
  • 35.
    Oh yeah! I’mso close to finding Pooky. Let’s read Odie’s last love letter for me.
  • 36.
    Great job, littlepussy. You have done the first two clues and now here’s the last clue. Consider the linear equation below. Its slope is the number of eastward steps you’ll take from here. I’M WISHING YOU A LOT OF LUCK! (Click the paw print to return to Garfield) 0=-16X+2Y
  • 37.
    This is aneasy one! In an equation, we can solve for the slope by using –a/b! Piece of cake!
  • 38.
    In the equation0=- 16X+2Y, -16 is A and 2 is B. By using –A/B, we get 8 as the slope. Eureka!
  • 39.
    Which means 8steps to the east!
  • 41.
    Garfield has reachedthe place where Odie is waiting. Hey Odie! I’ve solved all of your challenges. Enough already! Where’s Pooky? Alright! Chill! You know that I was just messing with you. You’re good. Since you have solved all my challenges, here, take your Pooky back.
  • 42.
  • 45.
    Kids, let mediscuss SLOPE OF A LINEAR FUNCTION
  • 46.
    In mathematics, theslope or gradient of a line describes its steepness, incline, or grade.
  • 47.
    It is theconstant rate of change of a linear function.
  • 48.
    It can bethough of as the ratio of the vertical change to the horizontal change between two points on the graph of a line.
  • 49.
    If the twopoints are (x1, y1) and (x2, y2), then the vertical change is y2 - y1 and the horizontal change is x2 - x1.
  • 50.
    Hence, we usethe formula
  • 51.
    Graph of f(x)= mx + b Positive Slope (the line rises from left to right)
  • 52.
    Graph of f(x)= -mx + b Negative Slope (the line falls from left to right)
  • 53.
    Graph of f(x)= b Zero Slope (horizontal line; passes through the y-axis)
  • 54.
    SUBMITTED TO: Mr. EricDe Guzman Credits to the maker of Garfield the Movie and Garfield Comics