The Slope of a
Line…
Continued!
Focus 7 - Learning Goal #1: The student will understand the
connections between proportional relationships, lines, and linear
equations and use functions to model relationships between quantities.
4
3
2
1
0
In addition to
level 3.0 and
beyond what
was taught in
class, the
student may:
 Make
connection
with other
concepts in
math.
 Make
connection
with other
content
areas.
The student will
demonstrate and
explain the
connections
between
proportional
relationships,
lines, and linear
equations and
use functions to
model
relationships
between
quantities.
The student
will
demonstrate
and identify
proportional
relationships,
lines, and
linear
equations and
use functions
to model
quantities.
With help
from the
teacher, the
student has
partial
success with
level 2 and 3
elements.
Even with
help,
students
have no
success with
level 2 and 3
content.
Review important
things about slope…
•Slope is the change in y over change in x.
•Slope is represented by the letter m
•Vertical line has NO slope (its undefined)
•Horizontal line has a slope zero (0)
Formula for slope:
y 2  y1
m
x2  x1
Review Finding the slope
of a line passing through points
(-7,3) and (-1,-2)
y 2  y1
m
x2  x1
-2
-3
-5
m = -1 - -7 = 6
Graph the line passing
through (3, 1) with slope 2.
The slope is 2, or 2/1 . So
for every 2 units up, you
will move right 1 unit,
and for every 2 units
down, you will move left 1
unit.
1. Plot the point (3, 1).
2. Then move 2 units
up and right 1 unit and
plot the point (4, 3).
3. Use a straightedge to
connect the two points.
1
2
(3, 1)
Graph the line passing through (1, 1)
with slope -3.
The slope is -3, or -3/1 .
So for every 3 units down,
you will move right 1 unit,
and for every 3 units up,
you will move left 1 unit.
(1, 1)
1. Plot the point (1, 1).
2. Then move 3 units
down and right 1 unit
and plot the point (2,-2).
3. Use a straightedge to
connect the two points.
3
1