Plotting the Point of Intersection of Two Lines in the Cartesian Plane
What are the ...
Question
What are the coordinates of the point where the lines y=6 and x=−6 intersect?
A
(6,6)
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B
(−6,−6)
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C
(6,−6)
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D
(−6,6)
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Solution
The correct option is D(−6,6) We need to find out the coordinates of the point at which the lines y=6 and x=−6 intersect.
On the line y=6, y-value is always the same, and it is 6 for all values of x. Whereas on the line x=−6, the value of x is always −6 for all values of y.
The line y=6 is 6 units above x- axis and the line x=−6 is 6 units to the left of x-axis.
∴y=6 and x=−6 intesect at (−6,6)
As x- coordinate always comes first, then y - coordinate in a point, the point of intersection of x=−6 and y=6 is (−6,6), hence, option (d.) is the correct one.