Find the slope of the line \( y= \) \( -1 / 4(2 x-7) ? \) Choose one.

To find the slope of the line given by the equation \( y = -\frac{1}{4}(2x - 7) \), it helps to simplify the expression. Distributing the \(-\frac{1}{4}\) results in \( y = -\frac{1}{4} \cdot 2x + \frac{7}{4} \), which simplifies to \( y = -\frac{1}{2}x + \frac{7}{4} \). From this slope-intercept form, it’s clear that the slope \( m \) is \(-\frac{1}{2}\). You might be wondering how slope plays a role in real life! When you're plotting a hike, for example, the slope represents how steep the trail is. A steeper slope means a tougher climb. So next time you're looking at a map, just remember - a steep trail can lead to a breathtaking view, but also a good workout! To avoid common mistakes while finding the slope, be careful when distributing terms and keep an eye out for negative signs. It’s also easy to confuse coefficients, so double-check your work, especially under pressure, like during a test! Remember, even a small miscalculation can change your slope, just like a tiny adjustment in your balance can affect your trajectory while riding a bike.