What terms is missing from this set of ordered pairs?
(0, -2)(?, 0)(5,8)
Find the line through (0, -2) and (5, 8), and find the point on that line where y=0 to find the missing (?, 0).
(0 , 2), (x , 0), (5 , 8).
m = (8 - 2) / (5 - 0) = 6/5.
m = (0 - 2) / (x - 0) = 6/5,
-2 / x = 6/5,
Cross multiply:
6x = -10,
x = -10/6 = -5/3.
To determine the missing term in the set of ordered pairs, we need to identify the pattern or relationship between the given pairs. Let's analyze the pattern between the given pairs:
(0, -2) and (5, 8)
Looking at the x-coordinate values (0, ?, 5), we can see that they are increasing by 5 each time, indicating that there is a constant increment of 5.
Now, let's examine the y-coordinate values (-2, 0, 8). The y-coordinate is increasing by 2 each time, but there is also a pattern. If we observe carefully, we can see that the y-coordinate is increasing by 2 starting from 0 and then subtracting 2 from the next value, resulting in -2.
Based on this pattern, we can conclude that the missing term for the y-coordinate is the previous value (0) minus 2, which equals -2.
Therefore, the missing term in the set of ordered pairs is (-5, 0).