Answer:
[tex]\boxed{\frac{1}{5}}[/tex]
Step-by-step explanation:
Formula:
[tex]\boxed{\frac{y_{2} -y_{1}}{x_{2}-x_{1}}}[/tex]
First, label each point. It does not matter how you label it, you will still get the same answer if done accurately. I will just label mins like:
[tex](x_{1}=10, y_{1}=5)\:\: (x_{2}=15, y_{2}=6)[/tex]
Next, plug these points into the formula.
[tex]{\frac{y_{2} -y_{1}}{x_{2}-x_{1}}}\\\\={\frac{6 -5}{15-10}[/tex]
Lastly, solve.
6 - 5 = 1
15 - 10 = 5
[tex]=\frac{1}{5}[/tex]
Therefore, the slope is [tex]\frac{1}{5}[/tex]
