To calculate the slope use the
gradient formula
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣
2
2
m
=
y
2
−
y
1
x
2
−
x
1
2
2
∣
∣
∣
−−−−−−−−−−−−−−−−−
where m represents the slope and
(
x
1
,
y
1
)
,
(
x
2
,
y
2
)
2 coordinate points
here the 2 points are (10 ,-8) and (7 ,-8)
let
(
x
1
,
y
1
)
=
(
10
,
−
8
)
and
(
x
2
,
y
2
)
=
(
7
,
−
8
)
⇒
m
=
−
8
−
(
−
8
)
7
−
10
=
0
−
3
=
0
A slope of zero indicates that the line is horizontal, parallel to the x-axis and passes through all points in the plane with the same y-coordinate.
For the 2 given points both y-coordinates are - 8 and so the equation of the line is
y=-8
.
If you note this fact then it can be stated that the slope is zero without using the gradient formula.
graph{y-0.001x+8=0 [-20, 20, -10, 10]}
