plot -3 3/4, 2 1/2

Answer 1

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.

1. Convert \(-3 \frac{3}{4}\) to a decimal: \[ -3 \frac{3}{4} = -3 - \frac{3}{4} = -3 - 0.75 = -3.75 \]

2. 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:

1. On a Cartesian plane, locate the x-axis and y-axis.
2. Move approximately \(3.75\) units to the left on the x-axis (since it's negative).
3. Move \(2.5\) units up on the y-axis.
4. Mark the point where these two movements intersect.

This point is located in the second quadrant of the Cartesian plane.