Answer:
The correct option is 3.
Step-by-step explanation:
If a line passes through to points [tex](x_1,y_1)[/tex] and [tex](y_1,y_2)[/tex], then the slope of line is
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Given points are (4,-7) and (6,3).
The slope between given points is
[tex]m=\frac{3-(-7)}{6-4}[/tex]
[tex]m=\frac{3+7}{2}[/tex]
On further simplification we get
[tex]m=\frac{10}{2}[/tex]
[tex]m=5[/tex]
Therefore the correct option is 3.