Interpret the equation y= -4x+10. What type of function does this equation define? Describe its graph.
The equation y = -4x + 10 represents a linear function.
It is in the form of y = mx + b, where m is the slope of the line and b is the y-intercept. In this case, the slope is -4 and the y-intercept is 10.
The graph of this equation will be a straight line with a negative slope. This means that as x increases, y will decrease. It will intersect the y-axis at the point (0, 10), which is the y-intercept. Since the slope is -4, for every increase of 1 in x, y will decrease by 4. Therefore, the line will slope downwards from left to right.
Overall, the graph will be a straight line that starts at the point (0, 10) and slopes downwards at a rate of 4 units vertically for every 1 unit horizontally.