Use the image to answer the question.
A coordinate plane shows an x-axis ranging from 0 to 10 in increments of 2 and a y-axis ranging from 0 to 15 in increments of 3. The plotted points form an upward diagonal line. The first data point is at left parenthesis 2 comma 3 right parenthesis. The fourth data point is at left parenthesis 8 comma 12 right parenthesis. Two points in between the given points are left blank with only the parenthesis. The X-axis value of the second data points are the scale value next to 2 and the Y-axis value next to 3. The X-axis value of the third data points are the scale value next to 4 and the Y-axis value next to 6.
Choose the coordinate pair to plot on the coordinate plane so the ratio stays equivalent.
(1 point)
Responses
(3, 8)
Left Parenthesis 3 comma 8 Right Parenthesis
(6, 4)
Left Parenthesis 8 comma 4 Right Parenthesis
(4, 6)
Left Parenthesis 4 comma 8 Right Parenthesis
(4, 10)
Left Parenthesis 4 comma 10 Right Parenthesis
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3 answers
Based on this pattern, we can calculate the x-coordinate of the second data point by finding the difference between the x-coordinate of the fourth data point (8) and the x-coordinate of the first data point (2). The difference is 6. Therefore, the x-coordinate of the second data point would be 8 + 6 = 14. However, since the x-axis only ranges from 0 to 10, the x-coordinate of the second data point should be limited to 10.
Similarly, we can calculate the y-coordinate of the second data point by finding the difference between the y-coordinate of the fourth data point (12) and the y-coordinate of the first data point (3). The difference is 9. Therefore, the y-coordinate of the second data point would be 3 + 9 = 12.
Therefore, the coordinate pair to plot on the coordinate plane so the ratio stays equivalent would be (10, 12).
The correct answer is:
(10, 12)