Share
Check whether (0, -2) is solution of the equation x – 2y = 4 or not.
Question
Check whether (0, -2) is solution of the equation x – 2y = 4 or not.
in progress
0
Mathematics
5 years
2021-08-15T18:29:42+00:00
2021-08-15T18:29:42+00:00 1 Answers
30 views
0
Answers ( )
Answer: Yes, it is a solution
===================================================
Explanation:
Any ordered pair, aka point, is of the form (x,y)
x is always listed first
The point (0,-2) means x = 0 and y = -2 pair up together
Let’s plug them into the equation and simplify everything
x-2y = 4
0-2(-2) = 4
0+4 = 4
4 = 4
We end up with a true statement since we get the same thing on both sides, therefore the original equation is true for (x,y) = (0,-2)
(0,-2) is a solution to the given equation
Phrased another way: the point (0,-2) is on the line x-2y = 4. This point is the y intercept.