2. • ·Illustrate the slope of a line
and
• Define and identify the
different kinds of slopes.
3. A B A B
The measure of how hard it is for Luis to pedal up the hill, or how fast Luis goes
down the hill is known as slope.
4. • The ratio of vertical
distance and
horizontal distance
between two points.
• Slope is the number
that measures the
steepness of a line.
• The slope of a line is
denoted by the
symbol m.
7. What is the Slope?
𝒎 =
𝒓𝒊𝒔𝒆
𝒓𝒖𝒏
𝒎 =
𝟔
𝟕
(8,6)
(1,0)
8. The lowercase letter "m" is used to denote slope. The x
and y variables are meant to represent data obtained from
two points (ordered pairs) on the line. In other words, we
can take any points on the line and label one point as:
(𝑥1, 𝑦1) and the other as: (𝑥2, 𝑦2). The 1 and 2 in these
ordered pairs are known as subscripts. These are read as
("x-sub-one", "y-sub-one"), ("x-sub-two", “y-sub-two").
𝒎 =
𝒚𝟐 − 𝒚𝟏
𝒙𝟐 − 𝒙𝟏
9. For example; The line that passes through the points:
(0,-6) and (3,0)
First, we pick one point and label it as: (𝒙𝟏, 𝒚𝟏), then the other point
will be labeled as: (𝒙𝟐, 𝒚𝟐).Let's use (0,-6) as our first point and (3,0)
as our second point.
x1 = 0
y1 = -6
x2 = 3
y2 = 0
m =
𝒚𝟐−𝒚𝟏
𝒙𝟐−𝒙𝟏
=
0−(−6)
3−0
=
0+6
3−0
=
6
3
= 2
10. The line that passes through the points:
(0,-3) and (7,-2).
11. SLOPE POSITIVE
The graph moves
upward from left
to right.
SLOPE NEGATIVE
The graph moves
downward from
left to right.
SLOPE ZERO
The graph of a
line is
horizontal.
SLOPE UNDEFINED
The graph of a line
is vertical.
12. Find the slope of a line passing through the
given points and draw the graph.
1. (3,5) , (-2,3)
2. (2,1) , (2,-4)
3. (-2,4) , (1,-5)
4. (7, -2),(-7, -2)
