Math Problem Statement
The image shows a list of coordinates to be plotted on a graph. Below are the points that need to be plotted:
(3, 4)
(5, 0)
(-3, 3)
(-2, 0)
(-1, -3)
(-4, 0)
(5, -3)
(-5, 0)
(0, 3)
(0, -5)
Solution
To plot these points on a graph, we will treat each pair of coordinates as an pair. Here's a breakdown of the points that need to be plotted:
- (3, 4): This point is 3 units to the right of the origin and 4 units up.
- (5, 0): This point is 5 units to the right of the origin on the x-axis.
- (-3, 3): This point is 3 units to the left of the origin and 3 units up.
- (-2, 0): This point is 2 units to the left of the origin on the x-axis.
- (-1, -3): This point is 1 unit to the left of the origin and 3 units down.
- (-4, 0): This point is 4 units to the left of the origin on the x-axis.
- (5, -3): This point is 5 units to the right of the origin and 3 units down.
- (-5, 0): This point is 5 units to the left of the origin on the x-axis.
- (0, 3): This point is on the y-axis, 3 units above the origin.
- (0, -5): This point is on the y-axis, 5 units below the origin.
Would you like me to plot these points on a graph for you?
Related Questions:
- What are the distances of each point from the origin?
- How do you calculate the slope between two points?
- How do the x- and y-intercepts affect the shape of a graph?
- What does symmetry in the coordinates indicate about the graph?
- Can you identify any geometric patterns from these points?
Tip: When plotting points on a graph, always start from the origin and move horizontally along the x-axis before moving vertically along the y-axis to locate the point correctly.
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Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Plotting Points on a Cartesian Plane
Formulas
Distance formula: d = √((x2 - x1)^2 + (y2 - y1)^2)
Theorems
Symmetry in Coordinate Geometry
Properties of the Cartesian Plane
Suitable Grade Level
Grades 6-8
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