The line x - y = 5 passes through(0, 5)(-5, 0)(0, -5)
Question
The line x - y = 5 passes through(0, 5)(-5, 0)(0, -5)
Solution
The line x - y = 5 does indeed pass through the points (0, -5) and (-5, 0).
Here's how you can verify this:
- Substitute the x and y coordinates of each point into the equation of the line.
For the point (0, -5):
0 - (-5) = 5 0 + 5 = 5 5 = 5
The left side of the equation equals the right side, so the point (0, -5) lies on the line.
For the point (-5, 0):
-5 - 0 = 5 -5 = 5
The left side of the equation does not equal the right side, so the point (-5, 0) does not lie on the line.
For the point (0, 5):
0 - 5 = 5 -5 = 5
The left side of the equation does not equal the right side, so the point (0, 5) does not lie on the line.
So, the line x - y = 5 only passes through the point (0, -5).
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