The slope of a line passing through two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by:
slope
=
�
2
−
�
1
�
2
−
�
1
slope=
x
2
−x
1
y
2
−y
1
Using the coordinates given, we have:
slope
=
9
−
3
5
−
(
−
3
)
=
6
8
=
3
4
slope=
5−(−3)
9−3
=
8
6
=
4
3
Therefore, the slope of the line passing through the points $(-3,3)$ and $(5,9)$ is $\frac{3}{4}$.