What are the coordinates of point S?

On a coordinate plane, point S is 0.75 units to the left and 0.5 units up.
(Negative three-fourths, one-half)
(Negative one-half, negative three-fourths)
(One-half, Negative three-fourths)
(Three-fourths, one-half)

1 answer

To find the coordinates of point S based on the given description, we start from the origin (0, 0), and move 0.75 units to the left, which corresponds to decreasing the x-coordinate by 0.75. Thus, the x-coordinate will be:

\[ 0 - 0.75 = -0.75 \]

Next, we move 0.5 units up, which means increasing the y-coordinate by 0.5. Hence, the y-coordinate will be:

\[ 0 + 0.5 = 0.5 \]

Combining these two movements, the coordinates of point S are:

\[ (-0.75, 0.5) \]

In fractional form, these coordinates can also be expressed as:

\[ \left(-\frac{3}{4}, \frac{1}{2}\right) \]

So, the correct answer among the options aligns with (Negative three-fourths, one-half).