Answer:
So, the slope of the line passing through (-2, 4) and (0, 8) is 2.
Explanation:
To find the slope of the line passing through two points (x₁, y₁) and (x₂, y₂), you can use the formula:
Slope (m)
=
and
2
−
and
1
�
2
−
�
1
Slope (m)=
x
2
−x
1
and
2
−and
1
Let's calculate the slopes for the given pairs of points:
For the points (-1, 3) and (3, -5):
�
1
=
−
5
−
3
3
−
(
−
1
)
=
−
8
4
=
−
2
m
1
=
3−(−1)
−5−3
=
4
−8
=−2
So, the slope of the line passing through (-1, 3) and (3, -5) is -2.
For the points (-2, 4) and (0, 8):
�
2
=
8
−
4
0
−
(
−
2
)
=
4
2
=
2
m
2
=
0−(−2)
8−4
=
2
4
=2
So, the slope of the line passing through (-2, 4) and (0, 8) is 2.