What is an equation of the line that passes through the points \( (-7,-4) \) and \( (6,-4) \) ?

To find the equation of the line passing through the points \( (-7, -4) \) and \( (6, -4) \), we first notice that both points have the same \( y \)-coordinate. This indicates that the line is horizontal. In fact, the equation of a horizontal line is simply \( y = k \), where \( k \) is the constant \( y \)-coordinate of the points on the line. Hence, the equation is \( y = -4 \). Now, why is this important? Horizontal lines often represent situations where one variable remains constant while the other changes. For example, they can illustrate a fixed cost in a business model or the average temperature over a week where the temperature doesn’t fluctuate much. If you're ever confused about how to graph horizontal or vertical lines, a common mistake is to forget that horizontal lines have a slope of 0, while vertical lines have an undefined slope. Just remember: for horizontal, it's all about that y-value!