Question

What is the length of the line segment joining the points `(-3,-4)` and `(2, -5)`?

Answer 1

`sqrt26`

Explanation:

Use the distance formula: `sqrt((y_2-y_1)^2+(x_2-x_1)^2`

Plug in your values: `sqrt((-5-(-4))^2+(2-(-3))^2`
Simplify: `sqrt((-1)^2+(5)^2)`
Simplify: `sqrt(1+25)`
Simplify: `sqrt26`

Just pay attention to positives and negatives (e.g., subtraction of a negative number is equivalent to addition).