Question
Graph show (0,3) and (3,2); Is this the correct graph of y = 1/3x + 4
Answers
GPT-4o mini
To determine if the points (0,3) and (3,2) are on the line represented by the equation \( y = \frac{1}{3}x + 4 \), we can substitute the \( x \)-coordinates of each point into the equation and see if we get the corresponding \( y \)-coordinates.
1. **Checking the point (0, 3)**:
\[
y = \frac{1}{3}(0) + 4 = 0 + 4 = 4
\]
The point (0, 3) does not satisfy the equation since it results in \( y = 4 \), not \( y = 3 \).
2. **Checking the point (3, 2)**:
\[
y = \frac{1}{3}(3) + 4 = 1 + 4 = 5
\]
The point (3, 2) does not satisfy the equation either, as it results in \( y = 5 \) instead of \( y = 2 \).
Since neither of the points (0, 3) or (3, 2) satisfy the equation \( y = \frac{1}{3}x + 4 \), the claim that these points lie on the graph of that equation is incorrect. Therefore, the graph you referenced does not correspond to the equation given.
1. **Checking the point (0, 3)**:
\[
y = \frac{1}{3}(0) + 4 = 0 + 4 = 4
\]
The point (0, 3) does not satisfy the equation since it results in \( y = 4 \), not \( y = 3 \).
2. **Checking the point (3, 2)**:
\[
y = \frac{1}{3}(3) + 4 = 1 + 4 = 5
\]
The point (3, 2) does not satisfy the equation either, as it results in \( y = 5 \) instead of \( y = 2 \).
Since neither of the points (0, 3) or (3, 2) satisfy the equation \( y = \frac{1}{3}x + 4 \), the claim that these points lie on the graph of that equation is incorrect. Therefore, the graph you referenced does not correspond to the equation given.