Interpret the equation y=−4x+10 . What type of function does this equation define? Describe its graph.

1 answer

The equation y = -4x + 10 defines a linear function.

The graph of this equation will be a straight line. The slope of the line is -4, which means that for every 1 unit increase in x, the y-value will decrease by 4 units. The y-intercept is 10, which means that the line crosses the y-axis at the point (0, 10).

Since the slope is negative, the line will be downward sloping from left to right. The graph will extend infinitely in both directions.