Coordinate Plane Mastery
A comprehensive worksheet for Grade 12 students covering key concepts of the coordinate plane, including plotting points, calculating distance, finding midpoints, and understanding linear equations.
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Standards
Topics
Coordinate Plane Mastery
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Read each question carefully and answer to the best of your ability. Show all your work where applicable. Good luck!
1. Plot the following points on the coordinate plane below: A(3, -2), B(-5, 4), C(0, 1), D(2, 0), E(-3, -3).
2. The distance between two points (x₁, y₁) and (x₂, y₂) is given by the formula: d = .
3. The midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) is given by the formula: M = .
4. What is the distance between the points (2, 3) and (5, 7)?
3 units
4 units
5 units
√41 units
5. Find the midpoint of the line segment connecting (1, -4) and (7, 2).
(4, -1)
(3, -3)
(8, -2)
(6, -6)
6. Write the equation of a line in slope-intercept form that passes through the points (1, 5) and (3, 11).
7. Graph the linear equation y = -2x + 4 on the coordinate plane below.
8. The x-axis is a horizontal line and the y-axis is a vertical line.
True
False
9. The origin on a coordinate plane is represented by the point (0, 0).
True
False