Final answer:
The rate of change for the line described by the equation 1x−7y=16 is 1/7.
Step-by-step explanation:
The rate of change for the line described by the equation 1x−7y=16 can be found by calculating the slope of the line. To calculate the slope, we need to rearrange the equation to the form y = mx + b, where m represents the slope. Rearranging the given equation, we get:
7y = 1x - 16
y = (1/7)x - (16/7)
Comparing this equation with y = mx + b, we can see that the slope (m) is 1/7.
Therefore, the rate of change for the line is 1/7.