Final answer:
Among the given equations, equation d, y = 4x, has the highest growth because it has the largest positive slope (4), indicating the steepest rise and the fastest growth rate.
Step-by-step explanation:
The question asks which equation has the highest growth (slope) among the following: a) y = -2x + 5, b) y = 7, c) y = x + 10, and d) y = 4x. Looking at the coefficients of x in each equation, which represent the slope, we can determine the growth rate of the line.
- Equation a, y = -2x + 5, has a negative slope of -2.
- Equation b, y = 7, represents a horizontal line with a slope of 0 since it does not have an x term.
- Equation c, y = x + 10, has a positive slope of 1.
- Equation d, y = 4x, has the highest slope of 4 and therefore represents the line with the highest growth.
A line with a larger positive slope will rise more steeply, indicating a higher growth rate. Thus, among the given equations, equation d, y = 4x, has the highest growth.