Question

give the coordinates of point a.
image of a coordinate plane with point a
options:
a. (-1, -3)
b. (3, -1)
c. (-1, 3)
d. (-3, -1)

Explanation:

Step1: Recall coordinate system rules

In a coordinate system, the \(x\)-coordinate (horizontal) is first, \(y\)-coordinate (vertical) second. Left of the origin (\(x = 0\)) is negative \(x\), right is positive. Above the origin (\(y = 0\)) is positive \(y\), below is negative.

Step2: Analyze point A's position

Point A is left of the \(y\)-axis (so \(x\)-coordinate negative) and above the \(x\)-axis (so \(y\)-coordinate positive). Looking at the options, only option C \((-1, 3)\) has a negative \(x\) and positive \(y\). Checking the grid (even with partial view), moving 1 unit left (\(x=-1\)) and 3 units up (\(y = 3\)) matches the position of A.

Answer:

C. \((-1, 3)\)