The distance formula is:
[tex]d= \sqrt{(x_1-x_2)^2+(y_1-y_2)^2} [/tex]
We are given two points in the form (x,y), so plug in the values to the distance formula:
[tex]d= \sqrt{(-10-15)^2-(12-12)^2} [/tex]
Next we can simplify. We know that 12-12 is 0, so we can drop it from the equation, as it will not affect our answer. Also, we know that -10-15 is -25:
[tex]d= \sqrt{(-25)^2} [/tex]
The square and square root cancel each other out leaving us with 25.
The answer is 25.
