Question

Is this the correct graph of y= -1/3x+4? (3, 2) (0, 3)

Answer 1

To determine if the points (3, 2) and (0, 3) are correct points on the graph of the equation \(y = -\frac{1}{3}x + 4\), we can verify each point by substituting the x-coordinates into the equation and checking if the resulting y-coordinates match.

1. **Check the point \((0, 3)\)**:
\[
y = -\frac{1}{3}(0) + 4 = 0 + 4 = 4
\]
The point \((0, 3)\) does not satisfy the equation since \(y\) evaluates to 4, not 3.

2. **Check the point \((3, 2)\)**:
\[
y = -\frac{1}{3}(3) + 4 = -1 + 4 = 3
\]
Similar to the first point, the point \((3, 2)\) does not satisfy the equation since \(y\) evaluates to 3, not 2.

Thus, neither point \((3, 2)\) nor \((0, 3)\) lies on the line represented by the equation \(y = -\frac{1}{3}x + 4\).

To summarize, the points provided are **not** correct for the equation \(y = -\frac{1}{3}x + 4\).