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QUESTION IMAGE

graph the point (2.5, -1.5) on the coordinate plane.

Question

graph the point (2.5, -1.5) on the coordinate plane.

Explanation:

Step1: Identify x-coordinate

The x - coordinate of the point \((2.5, - 1.5)\) is \(2.5\). On the x - axis, we move \(2.5\) units to the right of the origin (since \(2.5>0\)). This is halfway between \(x = 2\) and \(x=3\) (because \(2.5=2+\frac{1}{2}\)).

Step2: Identify y-coordinate

The y - coordinate of the point \((2.5, - 1.5)\) is \(-1.5\). On the y - axis, we move \(1.5\) units down from the origin (since \(- 1.5<0\)). This is halfway between \(y=-1\) and \(y = - 2\) (because \(-1.5=-1-\frac{1}{2}\)).

Step3: Plot the point

Locate the position on the coordinate plane where the x - coordinate is \(2.5\) and the y - coordinate is \(-1.5\) and mark the point.

(Note: Since the problem is about graphing, the final answer is the plotted point at \((2.5,-1.5)\) on the coordinate plane. The visual representation would have a dot halfway between \(x = 2\) and \(x = 3\) (on the right side of the y - axis) and halfway between \(y=-1\) and \(y=-2\) (below the x - axis).)

Answer:

The point \((2.5, - 1.5)\) is plotted at a position \(2.5\) units to the right of the origin (x - axis) and \(1.5\) units below the origin (y - axis), halfway between \(x = 2\) and \(x = 3\) (horizontally) and halfway between \(y=-1\) and \(y=-2\) (vertically) on the coordinate plane.