What are the coordinates of point H?

9514 1404 393

  (-1 1/2, 3)

Step-by-step explanation:

Coordinates are written as an ordered pair. That means the position of the coordinate value in the pair has significance.

By convention, the first coordinate is the "x" coordinate. It is the number of units the point lies to the right of the x=0 point on the horizontal scale. Here, the point lies between 1 and 2 units left of 0, corresponding to an x-coordinate of -1 1/2. So far, we know the point coordinates are (-1 1/2, <something>).

At this point, you can check to see if this narrows down the answer choices. It does. The only available answer choice with a first coordinate of -1 1/2 is the correct one: (-1 1/2, 3).

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The second coordinate in the ordered pair is the "y" coordinate. It is the number of units the point lies above the point y=0 on the vertical scale. Here, the point lies 3 units above the point y=0, corresponding to a y-coordinate of 3. Now, we know the coordinates of the point are (x, y) = (-1 1/2, 3).

Additional comment

Ordered pairs of coordinates are not always x- and y- coordinates. Sometimes, they are elevation and azimuth, latitude and longitude, radius and angle. However, for the vast majority of work in Algebra, an ordered pair of coordinates refers to (x, y) coordinates on a Cartesian plane (one with grid lines running horizontally and vertically).

step-by-step explanation: