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Day 82 Tech Math Warm Up - Slope
Contributed by: Fisher
(Original author: Collins)

Slope is defined as the steepness of a line.

Which of the following is a way to remember slope?

Run over Rise

Slow over Fast

Fast over Slow

 Rise over Run

If slope is equal to

rise over the run,

what is the slope

of the line?

-2/3

 2/3

-3/2

3/2

Rise = -3
Run =+2

If slope is equal to rise over the run,

what is the slope of the line?

Rise =+5
Run=+3

3/5

 5/3

-3/5

-5/3

Find the slope of the line.

-1/2

2

 -2

1/2

Find the slope of the line.
 0 slope

undefined slope

10

-10

Find the slope of the line.

0 slope

3

 -3

undefined slope

Find the slope

of the line.

4/3

 -4/3

3/4

-3/4

Undefined
?
Match each graph with the correct slope. Drag each.
Positive
?
Negative
?
0 Slope
?

The slope of a line can be found only given two points

as well.  If two points (x1, y1) and (x2, y2) are given,

the slope can be found using the slope formula,

which is:

 

                                


                                y2 - y1

                                x2 - x1

m =

Find the slope of the line that passes through the

two points (7, 2) and (-4, -6).

m =
x1=7, y1=2             x2 = -4, y2 = -6

y2 - y1

x2 - x1

-6-2

-4-7

=

-8       8

-11    11

=

Find the slope of the line that passes through

the points (8, 3) and (2, 9).

 

         9 - 3            6

         2 - 8           -6

=
=

Find the slope of the line that passes through the

points (7, -3) and (-4, 5).

 

 

 5 - (-3)          

 -4 - 7                  -11

=

Find the slope of the line that passes through the

two points (-2, 8) and (10, -4).

 

 

  -4 - 8          -12

10 - (-2)         12

=
=

Find the slope of the line that passes through

the points (8, 6) and (-3, -3).

When solved for y, a linear equation will be in the

form y = mx + b.  Remember, m is the slope!

What is the slope of the equation y = -4x + 8?
The slope of y = -4x + 8 is -4.
m

What is the slope of the linear equation?

 

y = 2 x - 6

The slope of y = 2 x - 6 is
m

What is the slope of the linear equation?

 

y = 3/4 x + 9

m =

Solve the equation 3x - 2y = -6 for y and then state

the slope of the line.

 

3x - 2y = -6

-3x           -3x

-2y = -3x - 6

dvide by -2

y = 3/2x + 3

 

The slope is 3/2.

Solve the equation -x + 2y = 10 for y and then

state the slope of the line.

 

-x + 2y = 10

+x            +x

2y = x + 10

Divide by 2

 y = 1/2 x + 5

 

The slope of the line is

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