Find the distance between (-2,-7) and (6,8)
To find the distance between two points \((x_1, y_1)\) and \((x_2, y_2)\), you can use the distance formula:
\[d = \sqrt{{(x_2-x_1)^2+(y_2-y_1)^2}}\]
In this case, the points are (-2,-7) and (6,8).
Plugging in the values, we get:
\[d = \sqrt{{(6-(-2))^2+(8-(-7))^2}}\]
\[d = \sqrt{{(6+2)^2+(8+7)^2}}\]
\[d = \sqrt{{(8)^2+(15)^2}}\]
\[d = \sqrt{{64+225}}\]
\[d = \sqrt{{289}}\]
\[d = 17\]
Therefore, the distance between (-2,-7) and (6,8) is 17 units.