(2,?) is on the line 4x - 5y = -12. Find the other half of the coordinate.
The x coordinate is 2. The y coordinate is unknown.
If we substitute 2 for x in the equation, it will look as follows:
\(4 (2)-5y=-12\)
Then we simply have to work it out:
\(8-5y=-12 \\ -5y=-20 \\ 5y=20 \\ y= \frac{20}{5} \\ y=4\)
So, the second coordinate is 4.
Answer: y=4.
Explanation: To find a missing half of a coordinate of a point that belongs to a line, we just have to substitute the known coordinate in the equation of the line, and isolate the variable we are looking for. So in the given problem, we just substitute "x=2" and then isolate "y":
4(2)-5y=-12
8-5y=-12
-5y=-12-8
-5y=-20
y=-20/-5
y=4.
So the coordinate would be (2, 4).