Question

Distance between -9,6 and -2,1

Answer 1

The distance between the two points is
`\bold{√(74) \ units}`.

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
  `d=√((x_2-x_1)^2+(y_2-y_1)^2).`

• In coordinates, the pairs are labeled as
  `(x_1, y_1) \ \text{and} \ (x_2, y_2).`

Therefore, with this formula, we can just substitute our values into the formula and solve for d.

`d=√(((-2)-(-9))^2+(1-6)^2)\\d=√((49)+(25))\\\small\boxed{\bold{d=√(74)}}`

The distance between the two points is
`\bold{√(74) \ units}`.