Question

which of the statements about the point (4, 9) are true?
i. the x - coordinate is 4.
ii. the y - coordinate is 4.
iii. the point is 4 units from the x - axis.
iv. the point is 9 units from the x - axis.
a. i and iv
b. i and ii
c. i and iii
d. ii and iii

Explanation:

Step1: Identify coordinates of (4,9)

In a point $(x,y)$, $x$ is the x-coordinate, $y$ is the y-coordinate. For $(4,9)$, x-coordinate = 4, y-coordinate = 9. So Statement I is true, Statement II is false.

Step2: Distance from x-axis

Distance from a point $(x,y)$ to the x-axis is $|y|$. For $(4,9)$, distance = $|9| = 9$. So Statement IV is true, Statement III is false.

Step3: Select correct statements

True statements are I and IV.

Answer:

A. I and IV