Exam (elaborations)

Slope

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Course
Mathematics

Institution
9th Grade

The test is all about finding the Slope of a line. A slope is the ratio of the rise to the run.[Dy÷Dx]-Dy is the rise and Dx is the run. Therefore Slope =rise ÷ run OR Slope=Dy÷Dx.

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Uploaded on September 10, 2024
Number of pages 5
Written in 2024/2025
Type Exam (elaborations)
Contains Only questions

Institution Secondary school
Education 9th Grade
Course Mathematics
School year 3

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Section
5.3a
–
Slope

MPM1D

Jensen

Investigation

Slope:
A
measurement
of
the
steepness
of
a
line.

The
following
diagrams
represent
ski
hills.

C

A
B

1.
Rank
the
hills
in
order
of
their
steepness,
from
least
to
greatest.

i.
________

ii.
________

iii.
_________

2.
A
hill
rises
2
meters
over
a
horizontal
run
of
8
meters.
A
second
hill
rises
4
meters
over
a
horizontal

run
of
10
meters.
Which
is
the
steeper
hill?

3.
Describe
your
method
for
determining
steepness:

, Part
1:
How
do
we
find
the
slope
of
a
line?

The
steepness
of
a
line
segment
is
measured
by
its
________________.
The
slope
is
the
ratio
of
the

____________________
to
the
_____________________
and
is
often
represented
by
the
letter
_______
.

You
should
maybe
be
starting
to
make
a
connection;
what
else
did
we
use
the
letter
𝑚
to
represent?

_________________:
the
vertical
distance
between
two
points

(∆𝑦)

_________________:
the
horizontal
distance
between
two
points

(∆𝑥)

𝒓𝒊𝒔𝒆 ∆𝒚
𝑺𝒍𝒐𝒑𝒆 = 𝒎 = 𝒐𝒓

𝒓𝒖𝒏 ∆𝒙

When
determining
the
rise
and
run
of
a
line
from
its
graph
you
must
know
that:

Counting
units
in
the
upward
direction
gives
a
_________________
rise

Counting
units
in
the
downward
direction
gives
a
________________
rise

Counting
units
to
the
right
gives
a
__________________________
run

Counting
units
to
the
left
gives
a
___________________________
run

Example
1:
Count
the
units
on
the
grid
to
determine
the
rise
and
run.

rise

=
___________

run
=
____________

What’s
the
slope
of
this
line?

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