Question

Calculate the ditance between the point H= (−9, 0) and J= (−1,−8) in the coordinate plane

Answer 1

The distance between the point H= (−9, 0) and J= (−1,−8) in the coordinate plane is 8√2 units.

Define the term distance formula?

• The Pythagorean theorem is used to calculate the distance using the distance formula.
• If we are aware of the coordinates of both the 2 points as in XY plane, we may calculate the distance between them.
• The distance formula can be used to calculate the distance between both P and Q if P(x1, y1) with Q(x2, y2) are the two main points in a plane.

For the stated question-

Distance formula;

d = √(x2 -x1)² + (y2 - y1)²

H(x1, y1) = (−9, 0)

and J(x2, y2) = (−1,−8)

Put the values;

HJ = √(-1 + 9)² + (-8 - 0)²

HJ = √(64 + 64)

HJ = 8√2

Thus, the distance between the point H= (−9, 0) and J= (−1,−8) in the coordinate plane is 8√2 units.

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