The equation \( y = -4x + 10 \) defines a linear function. Its graph is a straight line with a slope of -4 and a y-intercept of 10.
Here's a breakdown of the components:
- Slope: The slope of -4 indicates that for every unit increase in \( x \), \( y \) decreases by 4 units, resulting in a downward slope.
- Y-intercept: The y-intercept of 10 indicates that the line crosses the y-axis at the point (0, 10).
Thus, the correct interpretation of the function and its graph is: "This is a linear function. Its graph is a straight line with a slope of -4 and a y-intercept of 10."