What is the slope of \( y=-4 x-3 ? \)
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The equation \( y = -4x - 3 \) is in the slope-intercept form, \( y = mx + b \), where \( m \) represents the slope. Here, the slope is \(-4\), which indicates that for every unit increase in \( x \), \( y \) decreases by 4 units. This negative slope signifies a downward trend on the graph. If you're ever uncertain about recognizing the slope, remember that the coefficient of \( x \) in a linear equation will always tell you the slope. A common mistake is to forget that the slope can be negative; this means that the line will fall as you move from left to right across the graph!