Question

Use the image to answer the question.

Four points are plotted on a coordinate plane. The x-axis ranges from 0 to 6 in increments of 1. The y-axis ranges from negative 6 to 0 in increments of 1.

What would the next point be on the graph?

(1 point)
Responses

(5,−2.5)
left parenthesis 5 comma negative 2.5 right parenthesis

(5,−3.5)
left parenthesis 5 comma negative 3.5 right parenthesis

(0,−5)
left parenthesis 0 comma negative 5 right parenthesis

(−4.5,−2.5)
left parenthesis negative 4.5 comma negative 2.5 right parenthesis
Skip to navigation

Answer 1

To determine the next point to plot on the coordinate plane based on the given options, we need to evaluate the coordinates of each option considering the defined range of the x-axis and y-axis.

The options provided are:

1. (5, -2.5)
2. (5, -3.5)
3. (0, -5)
4. (-4.5, -2.5)

With the x-axis ranging from 0 to 6, points must have an x-coordinate between 0 and 6. This eliminates option 4, as -4.5 is not within the range of the x-axis.

Now, we examine the remaining options:

- (5, -2.5): The x-coordinate is 5, which is valid, and the y-coordinate is -2.5, which is within the range of the y-axis (-6 to 0).
- (5, -3.5): The x-coordinate is also 5, which is valid, and the y-coordinate is -3.5, which is also within the y-axis range.
- (0, -5): The x-coordinate is valid (0 is within the range), and the y-coordinate is -5, which is within the range.

All three options (5, -2.5), (5, -3.5), and (0, -5) can be considered as valid next points on the graph based on range.

Since you are looking for one correct answer, if we assume a sequential nature or a trend based on given other points, for example, if the trend is moving down the y-axis as x increases, then a point like (5, -3.5) could represent a valid subsequent point, as you would continue downward in y while moving to the right on the x-axis.

Therefore, without additional context on other points plotted on the graph, I would recommend selecting **(5, -3.5)** as a good next point to choose.