name the quadrant or axis where each point lies.

$(3, 4)$: (choose one)
$(5, -2)$:
$(-5, -6)$:
$(0, 8)$:

options:
quadrant i
quadrant ii
quadrant iii
quadrant iv
x-axis
y-axis

Question

name the quadrant or axis where each point lies.

$(3, 4)$: (choose one)
$(5, -2)$:
$(-5, -6)$:
$(0, 8)$:

options:
quadrant i
quadrant ii
quadrant iii
quadrant iv
x-axis
y-axis

Accepted Answer

{ "quality": "clear", "question_count": 4, "skills_matched": [ "step_cot", "table_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Coordinate Plane", "Quadrants", "Axes Location" ], "new_concepts": [], "current_concepts": [ "Coordinate Plane", "Quadrants", "Axes Location" ] } ## Determine the location of (3, 4) $$ \begin{aligned} &x = 3 > 0, \quad y = 4 > 0 \ &\text{Location: Quadrant I} \end{aligned} $$ ## Determine the location of (5, -2) $$ \begin{aligned} &x = 5 > 0, \quad y = -2 < 0 \ &\text{Location: Quadrant IV} \end{aligned} $$ ## Determine the location of (-5, -6) and (0, 8) $$ \begin{aligned} &(-5, -6): x = -5 < 0, \quad y = -6 < 0 \implies \text{Quadrant III} \ &(0, 8): x = 0, \quad y = 8 eq 0 \implies \text{y-axis} \end{aligned} $$ | Point | Location | |---|---| | $(3, 4)$ | Quadrant I | | $(5, -2)$ | Quadrant IV | | $(-5, -6)$ | Quadrant III | | $(0, 8)$ | y-axis | { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Coordinate Plane" ] }

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QUESTION IMAGE

Question

Explanation:

Determine the location of (3, 4)

Determine the location of (5, -2)

Determine the location of (-5, -6) and (0, 8)

Answer:

Point	Location
\((5, -2)\)	Quadrant IV
\((-5, -6)\)	Quadrant III
\((0, 8)\)	y-axis