Question
This is the graph of the equation y = - 3x + 5.
(-6,1)
(3,-4
(0,5)
(-3,3
(3,7)
(5,-2)
(-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)
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)