Question
Which ordered pairs represent points on the graph of this equation? Select all that apply. y= – 3x+5
answer choices(3 ,7), (-3 , 3),(3,4),(5, -2), (-6,1) (0,5)
answer choices(3 ,7), (-3 , 3),(3,4),(5, -2), (-6,1) (0,5)
Answers
GPT-4o mini
To determine which ordered pairs represent points on the graph of the equation \( y = -3x + 5 \), we can plug in the \( x \)-value from each ordered pair into the equation and see if the resulting \( y \)-value matches the one given in the pair.
1. **For (3, 7)**:
\[ y = -3(3) + 5 = -9 + 5 = -4 \]
(7 ≠ -4, not on the line)
2. **For (-3, 3)**:
\[ y = -3(-3) + 5 = 9 + 5 = 14 \]
(3 ≠ 14, not on the line)
3. **For (3, 4)**:
\[ y = -3(3) + 5 = -9 + 5 = -4 \]
(4 ≠ -4, not on the line)
4. **For (5, -2)**:
\[ y = -3(5) + 5 = -15 + 5 = -10 \]
(-2 ≠ -10, not on the line)
5. **For (-6, 1)**:
\[ y = -3(-6) + 5 = 18 + 5 = 23 \]
(1 ≠ 23, not on the line)
6. **For (0, 5)**:
\[ y = -3(0) + 5 = 0 + 5 = 5 \]
(5 = 5, on the line)
Based on our calculations, the only ordered pair that represents a point on the graph of the equation \( y = -3x + 5 \) is:
- (0, 5)
1. **For (3, 7)**:
\[ y = -3(3) + 5 = -9 + 5 = -4 \]
(7 ≠ -4, not on the line)
2. **For (-3, 3)**:
\[ y = -3(-3) + 5 = 9 + 5 = 14 \]
(3 ≠ 14, not on the line)
3. **For (3, 4)**:
\[ y = -3(3) + 5 = -9 + 5 = -4 \]
(4 ≠ -4, not on the line)
4. **For (5, -2)**:
\[ y = -3(5) + 5 = -15 + 5 = -10 \]
(-2 ≠ -10, not on the line)
5. **For (-6, 1)**:
\[ y = -3(-6) + 5 = 18 + 5 = 23 \]
(1 ≠ 23, not on the line)
6. **For (0, 5)**:
\[ y = -3(0) + 5 = 0 + 5 = 5 \]
(5 = 5, on the line)
Based on our calculations, the only ordered pair that represents a point on the graph of the equation \( y = -3x + 5 \) is:
- (0, 5)