Question
Determine if points (0,3) and (5,1) is the graph of the function y= -2/5x+3.
Answers
GPT-4o mini
To determine if the points \((0,3)\) and \((5,1)\) lie on the graph of the function \(y = -\frac{2}{5}x + 3\), we can substitute the \(x\) values of each point into the equation and check if the resulting \(y\) value matches.
1. **For the point \((0,3)\)**:
\[
y = -\frac{2}{5}(0) + 3 = 0 + 3 = 3
\]
The point \((0,3)\) satisfies the equation.
2. **For the point \((5,1)\)**:
\[
y = -\frac{2}{5}(5) + 3 = -2 + 3 = 1
\]
The point \((5,1)\) also satisfies the equation.
Since both points \((0,3)\) and \((5,1)\) satisfy the equation \(y = -\frac{2}{5}x + 3\), they both lie on the graph of the function.
1. **For the point \((0,3)\)**:
\[
y = -\frac{2}{5}(0) + 3 = 0 + 3 = 3
\]
The point \((0,3)\) satisfies the equation.
2. **For the point \((5,1)\)**:
\[
y = -\frac{2}{5}(5) + 3 = -2 + 3 = 1
\]
The point \((5,1)\) also satisfies the equation.
Since both points \((0,3)\) and \((5,1)\) satisfy the equation \(y = -\frac{2}{5}x + 3\), they both lie on the graph of the function.