Coordinate Geometry

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Step 1: Identify the x-coordinate - distance from y-axis along x-axis = 5 (positive, since right of y-axis) Step 2: Identify the y-coordinate - distance from x-axis along y-axis = 3 (positive, since a…

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Step 1: Check x-coordinate = -4 (negative) → 4 units to the LEFT of y-axis Step 2: Check y-coordinate = +2 (positive) → 2 units ABOVE x-axis Step 3: Determine quadrant: (-,+) = Quadrant II Answer: Poi…

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The origin is the point where the x-axis and y-axis intersect. Step 1: Distance from x-axis = 0 Step 2: Distance from y-axis = 0 Step 3: x-coordinate = 0, y-coordinate = 0 Answer: The coordinates of o…

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Step 1: Point P(6, 4): x > 0, y > 0 → Quadrant I Step 2: Point Q(-3, 5): x < 0, y > 0 → Quadrant II Step 3: Point R(-2, -4): x < 0, y < 0 → Quadrant III Step 4: Point S(5, -3): x > 0, y < 0 → Quadrant…

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Step 1: For a point to lie on the x-axis, its y-coordinate MUST be 0 Step 2: Check each point: - (3, 0): y = 0 ✓ ON x-axis - (0, 2): y = 2 ✗ Not on x-axis - (-5, 0): y = 0 ✓ ON x-axis - (0, -4…

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Step 1: For a point to lie on the y-axis, its x-coordinate MUST be 0 Step 2: Check each point: - (0, 6): x = 0 ✓ ON y-axis - (4, 0): x = 4 ✗ Not on y-axis - (0, -3): x = 0 ✓ ON y-axis - (-2, 5…

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Step 1: Distance from y-axis = 7 units → |x-coordinate| = 7 Step 2: Distance from x-axis = 4 units → |y-coordinate| = 4 Step 3: Determine signs using quadrant: - Quadrant III has signs (-,-) - x-c…

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Step 1: Analyze the signs: - x-coordinate (a) is negative (< 0) - y-coordinate (b) is positive (> 0) Step 2: Match with quadrant sign patterns: - Quadrant I: (+,+) - Quadrant II: (-,+) ✓ MATCH…