Question

give the ordered pair (x,y) of the point shown on the grid and determine where it lies. the ordered pair associated with the given point is (0,6) . (type an ordered pair.) where does the point lie?
a. y-axis
b. quadrant iv
c. quadrant iii
d. x-axis
e. origin
f. quadrant i
g. quadrant ii

Explanation:

To determine where the point \((0, 6)\) lies, we use the rules for the coordinate plane:

• Points on the \(y\)-axis have an \(x\)-coordinate of \(0\) (regardless of the \(y\)-coordinate, as long as \(y

eq0\)).

• The origin is \((0, 0)\), so this is not the origin.
• Quadrants require both \(x\) and \(y\) to be non - zero (with specific signs for each quadrant), so it is not in any quadrant.
• Points on the \(x\)-axis have a \(y\)-coordinate of \(0\), which is not the case here.

Since the \(x\)-coordinate of \((0, 6)\) is \(0\) and the \(y\)-coordinate is non - zero, the point lies on the \(y\)-axis.

Answer:

A. y - axis