Question

Solve (10, 5) and ( 15, 6) in point slope form

Answer 1

`\boxed{(1)/(5)}`

Explanation:

Formula:

`\boxed{(y_(2) -y_(1))/(x_(2)-x_(1))}`

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:

`(x_(1)=10, y_(1)=5)\:\: (x_(2)=15, y_(2)=6)`

Next, plug these points into the formula.

`{(y_(2) -y_(1))/(x_(2)-x_(1))}\\\\={(6 -5)/(15-10)`

Lastly, solve.

6 - 5 = 1

15 - 10 = 5

`=(1)/(5)`

Therefore, the slope is
`(1)/(5)`