the coordinate of X is at 8 units of P and at 4 units to the left of Q
So the coordinate of X is: -5 + 8 = 3
How to find the coordinates of point x?
We know that point X is between points P and Q, in such a way that the ratio between the lengths of the segments PX and XQ is 2:1
First, we can length of the segment PQ is equal to the difference between their coordinates, so we get:
L = 7 - (-5) = 12
Then the length of segment PQ is 12 units, if we divide that in 3 we will get:
12/3 = 4 units.
So the segment PQ can be divided into 3 segments of 4 units each.
If the ratio PX to XQ is 2:1
Then the segment PQ must be divided into 3 parts, such that PX takes two of these parts and XQ is the remaining one.
Then the coordinate of X is at 8 units of P and at 4 units to the left of Q
So the coordinate of X is: -5 + 8 = 3
If you want to learn more about ratios:
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