name the quadrant or axis where each point lies.

$(5, -4)$:
$(-4, -1)$:
$(0, -7)$:
$(-4, 6)$:

Question

name the quadrant or axis where each point lies.

$(5, -4)$:
$(-4, -1)$:
$(0, -7)$:
$(-4, 6)$:

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 location of (5, -4) $$ \begin{aligned} &x = 5 > 0\ &y = -4 < 0\ &\text{Location: Quadrant IV} \end{aligned} $$ ## Determine location of (-4, -1) $$ \begin{aligned} &x = -4 < 0\ &y = -1 < 0\ &\text{Location: Quadrant III} \end{aligned} $$ ## Determine location of (0, -7) and (-4, 6) $$ \begin{aligned} &(0, -7): x = 0 \implies \text{Location: } y\text{-axis}\ &(-4, 6): x = -4 < 0,\ y = 6 > 0 \implies \text{Location: Quadrant II} \end{aligned} $$ | Point | Location | |---|---| | $(5, -4)$ | Quadrant IV | | $(-4, -1)$ | Quadrant III | | $(0, -7)$ | $y$-axis | | $(-4, 6)$ | Quadrant II | { "subject": "Mathematics", "question_type": "Multi-part", "knowledge_point": [ "Mathematics", "Geometry", "Coordinate Plane" ] }

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QUESTION IMAGE

Question

Explanation:

Determine location of (5, -4)

Determine location of (-4, -1)

Determine location of (0, -7) and (-4, 6)

Answer:

Point	Location
\((-4, -1)\)	Quadrant III
\((0, -7)\)	\(y\)-axis
\((-4, 6)\)	Quadrant II