Identify the Slope and Interce, function. \[ \] \( f(x)=-2 x-4 \)

The function \( f(x) = -2x - 4 \) is in slope-intercept form, which helps us easily identify its slope and y-intercept. Here, the slope is \(-2\), meaning for every unit increase in \(x\), the value of \(f(x)\) decreases by 2 units. The y-intercept, which is the value of \(f(x)\) when \(x=0\), is \(-4\). This tells us that the line crosses the y-axis at the point \((0, -4)\). To visualize this linear function, think of it as a downhill slide! You start at \(-4\) on the y-axis and with each step to the right (each increase in \(x\)), you drop down two steps. If you plot it, you'll see a straight line that elegantly moves down from left to right—the perfect representation of a negative slope!