To determine which equations represent the graph of a linear function that passes through the point (4, -3), we can substitute \( x = 4 \) and \( y = -3 \) into each of the provided equations and see if they hold true.
Let's evaluate each equation:
A. \( y - 2 = (x - 7) \)
Substituting \( x = 4 \) and \( y = -3 \): \[ -3 - 2 = 4 - 7 \ -5 = -3 \quad \text{(False)} \] This equation does not represent the graph.
B. \( y = 2x + 5 \)
Substituting \( x = 4 \): \[ y = 2(4) + 5 = 8 + 5 = 13 \ y = 13 \quad \text{(Not -3)} \] This equation does not represent the graph.
C. \( y = x \)
Substituting \( x = 4 \): \[ y = 4 \quad \text{(Not -3)} \] This equation does not represent the graph.
D. \( y = x - 3 \)
Substituting \( x = 4 \): \[ y = 4 - 3 = 1 \quad \text{(Not -3)} \] This equation does not represent the graph.
E. \( y + 2 = (x + 7) \)
Substituting \( x = 4 \): \[ y + 2 = 4 + 7 \ y + 2 = 11 \ y = 11 - 2 \ y = 9 \quad \text{(Not -3)} \] This equation does not represent the graph.
Based on the evaluations, none of the answers provided satisfy the condition \( x = 4, y = -3 \) for any of the given equations, so it appears that there was no correct answer present among the options. Double-check the point given or the options themselves. If you have another context or additional equations, that might help clarify!
1 answer