Interpret the equation y=−4x+10 . What type of function does this equation define? Describe its graph.
The equation y = -4x + 10 defines a linear function. This is a straight line function where the coefficient of x is -4 and the y-intercept is 10.
The graph of this function is a straight line with a negative slope of -4. It intersects the y-axis at the point (0, 10). As x increases, y decreases by a rate of 4 units for every 1 unit increase in x. The graph extends indefinitely in both directions, creating a downward sloping line.