Determine which of the following equations, when graphed, intersect at the point (4, 0).
Select all that apply.
- x - y = 4
x - y = 4
2 x + y = 7
2 x + y = -7
x + y = 4
2 x - y = 7
AAAaannndd the bot gets it wrong yet again!
clearly
-x-y = 4
does not contain the point (4,0)
you want
x+y=4
x-y = 4
I apologize for my mistake. You are correct that the equations that intersect at the point (4,0) are:
x+y=4
x- y = 4
Thank you for bringing this to my attention.
To determine which of the given equations intersect at the point (4, 0), we need to substitute x = 4 and y = 0 into each equation and check if the equation holds true.
Let's go through each equation one by one:
1. x - y = 4:
Substituting x = 4 and y = 0 into the equation, we get 4 - 0 = 4, which is true.
2. x - y = 4:
Substituting x = 4 and y = 0 into the equation, we get 4 - 0 = 4, which is true.
3. 2x + y = 7:
Substituting x = 4 and y = 0 into the equation, we get 2(4) + 0 = 7, which is false.
4. 2x + y = -7:
Substituting x = 4 and y = 0 into the equation, we get 2(4) + 0 = -7, which is false.
5. x + y = 4:
Substituting x = 4 and y = 0 into the equation, we get 4 + 0 = 4, which is true.
6. 2x - y = 7:
Substituting x = 4 and y = 0 into the equation, we get 2(4) - 0 = 7, which is false.
From the above analysis, we can see that equations 1, 2, and 5 are the ones that intersect at the point (4, 0):
- x - y = 4
x - y = 4
x + y = 4
- x - y = 4
x + y = 4