Find the Rate of Change in y = 1/4x + 8: Linear Equation Analysis

To determine the rate of change for the given line equation $y = \frac{1}{4}x + 8$:

• The equation is in the slope-intercept form, $y = mx + b$, where $m$ represents the slope or the rate of change.
• By comparing the given equation $y = \frac{1}{4}x + 8$ with the general form $y = mx + b$, we see that the slope $m$ is $\frac{1}{4}$.
• The rate of change for this line, thus, is $\frac{1}{4}$.

Therefore, the rate of change for the line is $\frac{1}{4}$.