Question

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Explanation:

To determine the coordinates of point \( H \), we analyze the grid:

Step 1: Determine the \( x \)-coordinate

The \( x \)-axis (horizontal) is labeled with the downward arrow. Point \( H \) is 4 units to the left of the origin (where the axes intersect). In coordinate systems, left of the origin corresponds to negative \( x \)-values. Thus, the \( x \)-coordinate is \( -4 \).

Step 2: Determine the \( y \)-coordinate

The \( y \)-axis (vertical) is labeled with the rightward arrow. Point \( H \) is 2 units below the origin. In coordinate systems, below the origin corresponds to negative \( y \)-values. Thus, the \( y \)-coordinate is \( -2 \).

Step 3: Write the coordinates

A point’s coordinates are given as \( (x, y) \). Combining the \( x \)- and \( y \)-coordinates, we get \( (-4, -2) \).

Answer:

The coordinates of point \( H \) are \( \boldsymbol{(-4, -2)} \).