Answer:
The distance between the two points is [tex]\bold{\sqrt{74} \ units}[/tex].
Step-by-step explanation:
We are given two coordinate pairs: (-9, 6) and (-2, 1). We can use the distance formula to solve for the distance between the points.
- The distance formula is [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}.[/tex]
- In coordinates, the pairs are labeled as [tex](x_1, y_1) \ \text{and} \ (x_2, y_2).[/tex]
Therefore, with this formula, we can just substitute our values into the formula and solve for d.
[tex]d=\sqrt{((-2)-(-9))^2+(1-6)^2}\\d=\sqrt{(49)+(25)}\\\small\boxed{\bold{d=\sqrt{74}}}[/tex]
The distance between the two points is [tex]\bold{\sqrt{74} \ units}[/tex].
