The point X has the given coordinates (-3 1/2, 2).
How do we read a graph in the Coordinate (x-y) plane?
A point on the graph can be read as a point (x, y) where y is the perpendicular distance of the point from the x-axis and x is the perpendicular distance of the point from the y-axis.
If the point is left to the y-axis, we take the distance negative.
If the point is below the x-axis, we take the distance negative.
How do we solve the given question?
We are asked which point in the graph represents the point (- 3 1/2, 2).
To answer the question, we will analyze all the points to determine their coordinates.
Point W:
The perpendicular distance from the y-axis (x) = 2 units.
The perpendicular distance from the x-axis (y) = 3 1/2 units.
∴ The point W is (2, 3 1/2).
Point X:
The perpendicular distance from the y-axis (x) = 3 1/2 units.
The perpendicular distance from the x-axis (y) = 2 units.
∵ The perpendicular distance from the y-axis (x) is on the left side of the y-axis, we take x = 3 1/2 as negative, that is, x = -3 1/2.
∴ The point X is (-3 1/2, 2).
Point Y:
The perpendicular distance from the y-axis (x) = 2 units.
The perpendicular distance from the x-axis (y) = 3 units.
∵ The perpendicular distance from the y-axis (x) is on the left side of the y-axis, we take x = 2 as negative, that is, x = -2.
∵ The perpendicular distance from the x-axis (y) is below the x-axis, we take y = 3 as negative, that is, y = -3.
∴ The point Y is (-2, -3).
Point Z:
The perpendicular distance from the y-axis (x) = 2 units.
The perpendicular distance from the x-axis (y) = 3 units.
∵ The perpendicular distance from the x-axis (y) is below the x-axis, we take y = 3 as negative, that is, y = -3.
∴ The point Z is (2, -3).
∴ We can say that point X has the given coordinates (-3 1/2, 2).
Learn more about the reading of graphs at
brainly.com/question/11234618
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