Find the Rate of Change: Analyzing y=-4x+3

To solve this problem, we need to determine the rate of change of the linear equation given by:

$y = -4x + 3$

The standard form for a linear equation is:

$y = mx + b$

where $m$ represents the slope of the line. The slope indicates the rate of change of the function, which describes how much the value of $y$ changes for a unit change in $x$.

In the equation $y = -4x + 3$, the slope $m$ is $-4$. This means that for every unit increase in $x$, the value of $y$ decreases by 4. Thus, the rate of change for this equation is $-4$.

Therefore, the rate of change is $-4$.