The correct interpretation of the equation \(y = -4x + 10\) is:
This is a linear function. Its graph is a straight line with a slope of \(-4\) and a y-intercept of \(10\).
Here's a brief explanation:
- Linear Function: The equation is in the form \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept. Since this is a linear equation, the graph will be a straight line.
- Slope: The slope is \(-4\), indicating that for each increase of \(1\) in \(x\), \(y\) decreases by \(4\).
- Y-intercept: The y-intercept is \(10\), which means the line crosses the y-axis at the point \((0, 10)\).
Thus, the graph will be a straight line that slopes downward from left to right, starting at the point \((0, 10)\).