To plot the point \((-3 \frac{3}{4}, 2 \frac{1}{2})\), we first need to convert these mixed numbers into improper fractions or decimal form.
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Convert \(-3 \frac{3}{4}\) to a decimal: \[ -3 \frac{3}{4} = -3 - \frac{3}{4} = -3 - 0.75 = -3.75 \]
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Convert \(2 \frac{1}{2}\) to a decimal: \[ 2 \frac{1}{2} = 2 + \frac{1}{2} = 2 + 0.5 = 2.5 \]
So, the coordinates for plotting are \((-3.75, 2.5)\).
To plot the point:
- On a Cartesian plane, locate the x-axis and y-axis.
- Move approximately \(3.75\) units to the left on the x-axis (since it's negative).
- Move \(2.5\) units up on the y-axis.
- Mark the point where these two movements intersect.
This point is located in the second quadrant of the Cartesian plane.