Question

Two points have the same
y
-coordinate but opposite
x
-coordinates. Which is a possible graph of these points?

Answer 1

Answer:

option (D)is correct

Step-by-step explanation:

I hope it's helpful to you

Answer 2

The third option is the correct graph where both points are on the first and second quadrants above the x-axis.

The graph of the question with the correct option is attached with the solution.

It is said that the two points have the same y - coordinates.

So we can have two points with the same y - coordinate as:

(a₁ ,b) and (a₂,b) where b is the common coordinate.

These two points lie on the same straight line $y=b$ which is a straight line parallel to the x-axis.

Now the x-coordinates are opposite of one another.

So if the x-coordinate of one point is "a" then the coordinate of the second point is "-a".

Therefore $a_2=-a_1$ in the above points.

So the two points are at equal distances from the y-axis along the line $y=b$ .

The first option will have the two points as (a,b) and (a,-b).

The second option will have points as (-a,b) and (a,-b).

The fourth option will have points (a,b) and (-a,-b).

Hence the third option is correct as it is the only one that satisfies the given condition for the coordinates.

Learn more about coordinates at:

https://brainly.in/question/1391443

https://brainly.in/question/43110915

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