name the quadrant or axis where each point lies.

$(-8, 0)$:
$(-2, 3)$:
$(4, -3)$:
$(7, 6)$:

Question

name the quadrant or axis where each point lies.

$(-8, 0)$:
$(-2, 3)$:
$(4, -3)$:
$(7, 6)$:

Accepted Answer

{ "quality": "clear", "question_count": 4, "skills_matched": [ "step_cot", "table_formatter", "explain_then_answer", "quick" ], "needs_drawing": true, "concepts_used": [], "new_concepts": [ "Coordinate Plane", "Quadrants", "Axes Location" ], "current_concepts": [ "Coordinate Plane", "Quadrants", "Axes Location" ] } ## Determine location of (-8, 0) $$ \begin{aligned} &x = -8,\quad y = 0 \ &\text{Since } y = 0, \text{ the point lies on the } x\text{-axis.} \end{aligned} $$ ## Determine location of (-2, 3) $$ \begin{aligned} &x = -2 < 0,\quad y = 3 > 0 \ &\text{Since } x < 0 \text{ and } y > 0, \text{ the point lies in Quadrant II.} \end{aligned} $$ ## Determine location of (4, -3) $$ \begin{aligned} &x = 4 > 0,\quad y = -3 < 0 \ &\text{Since } x > 0 \text{ and } y < 0, \text{ the point lies in Quadrant IV.} \end{aligned} $$ ## Determine location of (7, 6) $$ \begin{aligned} &x = 7 > 0,\quad y = 6 > 0 \ &\text{Since } x > 0 \text{ and } y > 0, \text{ the point lies in Quadrant I.} \end{aligned} $$ | No. | Problem | Answer | |---|---|---| | 1 | $(-8, 0)$ | $x$-axis | | 2 | $(-2, 3)$ | Quadrant II | | 3 | $(4, -3)$ | Quadrant IV | | 4 | $(7, 6)$ | Quadrant I | { "elements": [ { "type": "point", "params": [[-8, 0]], "properties": { "name": "(-8, 0)", "size": 4, "color": "#8C55F2", "withLabel": true } }, { "type": "point", "params": [[-2, 3]], "properties": { "name": "(-2, 3)", "size": 4, "color": "#5583F2", "withLabel": true } }, { "type": "point", "params": [[4, -3]], "properties": { "name": "(4, -3)", "size": 4, "color": "#F2557F", "withLabel": true } }, { "type": "point", "params": [[7, 6]], "properties": { "name": "(7, 6)", "size": 4, "color": "#F28A55", "withLabel": true } }, { "type": "text", "params": [5, 5, "Quadrant I (+, +)"], "properties": { "color": "gray" } }, { "type": "text", "params": [-8, 5, "Quadrant II (-, +)"], "properties": { "color": "gray" } }, { "type": "text", "params": [-8, -5, "Quadrant III (-, -)"], "properties": { "color": "gray" } }, { "type": "text", "params": [5, -5, "Quadrant IV (+, -)"], "properties": { "color": "gray" } } ] } { "subject": "Mathematics", "question_type": "Multi-part", "knowledge_point": [ "Mathematics", "Geometry", "Coordinate Plane" ] }

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QUESTION IMAGE

Question

Explanation:

Determine location of (-8, 0)

Determine location of (-2, 3)

Determine location of (4, -3)

Determine location of (7, 6)

Answer:

No.	Problem	Answer
2	\((-2, 3)\)	Quadrant II
3	\((4, -3)\)	Quadrant IV
4	\((7, 6)\)	Quadrant I