The abscisa and the ordinate of a point in the cartesian plane is (3 ,- 4). What is the distance?

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giorgiana1976 | College Teacher | (Level 3) Valedictorian

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To determine the abscisa and the ordinate of a point, we'll draw perpendiculars from the given point to the x and y axis.

We'll form a right angle triangle, whose hypotenuse is the distance from origin to the point and one cathetus is its abscisa and the other cathetus is the ordinate.

We'll note the distance as r:

r = ? units.

We'll note the abscisa as x:

x = 3 units

x^2 = 9 square units

We'll note the ordinate as y:

y = -4 units

y^2 = 16 units

We'll calculate r using Pythagorean Theorem:

r^2 = x^2 + y^2

r^2 = 9 + 16

r^2 = 25

r = 5

We'll reject the negative solution since the distance is always positive.

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