Q19. - Algebra 2

Question

Compare the quantity in Column A and the quantity in Column B. Then determine whether:

A. the quantity in Column A is greater,

B. the quantity in Column B is greater,

C. the two quantities are equal, or 

D. the relationship cannot be determined from the information given.

 

Column A	Column B
The x-coordinate of point Q	The y-coordinate of point P

Step-by-Step Solution

Answer

The two quantities are equal. Option C is correct.

Step-1 – Apply the concept of Cartesian Plane.

The Cartesian plane is divided into four quadrant. Numbers on right of zero are positive, on left of zero are negative. Numbers above zero on vertical line are positive and numbers below 0 are negative. Each pair of point in the coordinate plane is represented as an ordered pair $\left(x,y\right)$ where first element is the x-coordinate and second element is the y-coordinate. The point $\left(x,y\right)$ denote it is x units on x-axis and y units on y–axis and marked accordingly.

Step-2 – Find the coordinates

Consider the provided figure.

For the point Q, x-coordinate is 2 and y-coordinate is 1.

For the point P, x-coordinate is $-1$ and y-coordinate is 2.

Step-3 – Compare the columns A and B

The x-coordinate of point Q is 2 which is same as y-coordinate of point P.

Both the columns have same value.

Hence, the two quantities are equal.