Answer:
[tex]m=\frac{5}{2}[/tex]
Step-by-step explanation:
[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(4,\:2\right),\:\left(x_2,\:y_2\right)=\left(6,\:7\right)[/tex]
[tex]m=\frac{7-2}{6-4}[/tex]
[tex]\mathrm{Refine}[/tex]
[tex]m=\frac{5}{2}[/tex]