The equation \( y = -4x + 10 \) defines a linear function.
- This function is linear because it can be expressed in the form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.
- In this case, the slope \( m \) is -4, which means that for every unit increase in \( x \), the value of \( y \) decreases by 4 units.
- The y-intercept \( b \) is 10, indicating that the line crosses the y-axis at the point (0, 10).
The graph of this function is a straight line that slopes downward from left to right, starting at the point (0, 10) on the y-axis.
So, the correct interpretation is: This is a linear function. Its graph is a straight line with a slope of -4 and a y-intercept of 10.