Question
The graph of a linear function is shown on the grid.
Which equation is represented by the graph? Select TWO correct answers.
A. y-2=(x-7)
B. y=2x+ 5
5 C. y=x
5 D. y=x-3
E. y+2=(x+7)
it passes y=-3 x=4
Which equation is represented by the graph? Select TWO correct answers.
A. y-2=(x-7)
B. y=2x+ 5
5 C. y=x
5 D. y=x-3
E. y+2=(x+7)
it passes y=-3 x=4
Answers
GPT-4o mini
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!
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!