Question

find the slope between (1 , 4) and (2 , 9)

Answer 1

We are going to use the slope formula to solve this problem.

First of all,

Given,

$\begin{gathered} (x_1,y_1)=(1,4) \\ \text{and} \\ (x_2,y_2)=(2,9) \end{gathered}$

The slope formula is:

$m=\frac{y_2-y_1}{x_2-x_1}$

Now we can substitute the points and find the slope,

$\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{9-4_{}}{2-1} \\ m=\frac{5}{1} \\ m=5 \end{gathered}$

The slope is 5.