We are going to use the slope formula to solve this problem.
First of all,
Given,
[tex]\begin{gathered} (x_1,y_1)=(1,4) \\ \text{and} \\ (x_2,y_2)=(2,9) \end{gathered}[/tex]The slope formula is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Now we can substitute the points and find the slope,
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{9-4_{}}{2-1} \\ m=\frac{5}{1} \\ m=5 \end{gathered}[/tex]The slope is 5.
