Compare Linear Function 1 with Linear Function 2. Which one has the greater rate of change?
Linear Function 1: y=x+8
Linear Function 2:
(4,10) and (2,6)
linear function ___ has the greater rate of change
To compare the rate of change between the two linear functions, we need to calculate the slope of each function. The slope is the rate of change of a linear function.
For Linear Function 1 (y = x + 8), the slope is the coefficient of x, which is 1. Therefore, the rate of change for Linear Function 1 is 1.
For Linear Function 2, we need to find the slope using the two points (4,10) and (2,6). The formula for finding the slope between two points is (y2 - y1) / (x2 - x1).
Using the points (4,10) and (2,6), we get:
Slope = (6 - 10) / (2 - 4) = -4 / -2 = 2
Therefore, Linear Function 2 has a greater rate of change of 2 compared to Linear Function 1 with a rate of change of 1.