Question

This is the graph of the equation y = - 3x + 5.

(-6,1)
(3,-4
(0,5)
(-3,3
(3,7)
(5,-2)

Answers

GPT-4o mini
To determine which points lie on the graph of the equation \( y = -3x + 5 \), we can substitute the \( x \) values of the given points into the equation to see if we get the corresponding \( y \) values.

Let's check each point one by one:

1. **Point (-6, 1)**:
\[
y = -3(-6) + 5 = 18 + 5 = 23 \quad (\text{not } 1)
\]

2. **Point (3, -4)**:
\[
y = -3(3) + 5 = -9 + 5 = -4 \quad (\text{this is correct!})
\]

3. **Point (0, 5)**:
\[
y = -3(0) + 5 = 0 + 5 = 5 \quad (\text{this is correct!})
\]

4. **Point (-3, 3)**:
\[
y = -3(-3) + 5 = 9 + 5 = 14 \quad (\text{not } 3)
\]

5. **Point (3, 7)**:
\[
y = -3(3) + 5 = -9 + 5 = -4 \quad (\text{not } 7)
\]

6. **Point (5, -2)**:
\[
y = -3(5) + 5 = -15 + 5 = -10 \quad (\text{not } -2)
\]

### Summary:
The points that lie on the graph of the equation \( y = -3x + 5 \) are:
- (3, -4)
- (0, 5)

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