Find the distance between these points. r(-1, 0), s(8, 6)

ANSWER

EXPLANATION

We use the distance formula to find distance between two points.

The two points are R(-1, 0) and S(8, 6).

We substitute the points into the formula to get:

Therefore the distance between the two points is units.

The distance between these points = 3√13

Step-by-step explanation:

Points to remember

Distance formula

Length of a line segment with end points (x1, y1) and (x2, y2) is given by,

Distance = √[(x2 - x1)² + (y2 - y1)²]

It is given two points R(-1, 0) and  S(8, 6)

To find the distance

Here, (x1, y1)  = (-1, 0) and (x2, y2) = (8, 6)

Distance = √[(x2 - x1)² + (y2 - y1)²]

= √[(8 - -1)² + (6 - 0)²]

= √[(8+1)² + (6)²]

 =√[(9)² + (6)²]

 = √[(81 + 36)]

 =√117 = √(3 * 3 * 13)

 = 3√13

The distance between these points = 3√13

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