find the distance between (-6,-8) and (5,-12) step by step
To find the distance between (-6,-8) and (5,-12) step by step, we can use the distance formula:
The distance formula is given by: d = √[(x2 - x1)² + (y2 - y1)²]
In this case, the coordinates of the first point (-6,-8) can be denoted as (x1, y1) = (-6,-8)
And the coordinates of the second point (5,-12) can be denoted as (x2, y2) = (5,-12)
Now, substituting the values into the distance formula, we get:
d = √[(5 - -6)² + (-12 - -8)²]
To simplify this, we can calculate the differences inside the parentheses first:
d = √[(5 + 6)² + (-12 + 8)²]
d = √[11² + (-4)²]
Next, we can square the values inside the square bracket:
d = √[121 + 16]
d = √137
Finally, we take the square root of the sum:
d = √137
Thus, the distance between the points (-6,-8) and (5,-12) is √137.