Two equations have an additive relationship. Name a point that will not be on either line.
Let's consider the two equations:
Equation 1: y = 2x + 3
Equation 2: y = -2x + 1
An additive relationship between two equations means that for any two points on the lines representing the equations (x₁, y₁) and (x₂, y₂), their sum would be a constant number.
To find a point that will not be on either line, we need to find a pair of values (x, y) that does not satisfy either equation. Let's try (x, y) = (0, 0).
Equation 1:
y = 2x + 3
0 = 2(0) + 3
0 = 0 + 3
0 = 3 (not true)
Equation 2:
y = -2x + 1
0 = -2(0) + 1
0 = 0 + 1
0 = 1 (not true)
Hence, the point (0, 0) will not be on either line.