Describe the appearance of the graph y=-4x+4
The graph of the equation y=-4x+4 is a straight line in the Cartesian coordinate plane. It has a negative slope of -4, meaning it is steeply sloping downwards from left to right. The y-intercept is 4, so the line intersects the y-axis at the point (0,4). The x-intercept can be found by setting y=0 and solving for x, giving us x=1. Therefore, the line also intersects the x-axis at the point (1,0).
Since the slope is negative, as x increases, y decreases. The line continues indefinitely in both the positive and negative directions, creating a linear relationship between x and y.
Visually, the line starts from the point (0,4) and slopes downwards towards the point (1,0). It is a straight line passing through these two points and extends infinitely in both directions.