Determine the slope of the line containing the given points. Graph the line. \( (-4,4) ;(4,4) \)

To find the slope of the line containing the points (-4, 4) and (4, 4), we use the formula for slope, which is \((y_2 - y_1) / (x_2 - x_1)\). Here, \(y_1 = 4\), \(y_2 = 4\), \(x_1 = -4\), and \(x_2 = 4\). Plugging in these values gives us: \[ \text{slope} = (4 - 4) / (4 - (-4)) = 0 / 8 = 0 \] This means the line is horizontal, sitting perfectly at \(y = 4\) across all x-values. To graph this line, plot the two points and draw a straight horizontal line through them, ensuring that it extends infinitely in both directions. For a fun twist, did you know that horizontal lines represent situations where there’s no change? Think of them as a lazy river, where you float effortlessly without any up or down! This particular line indicates that no matter what value of x you plug in, the value of y remains at 4—just like your favorite flat landscape! If you're curious about how slopes work in other contexts, imagine driving on a hill. A slope of 0 means you're on a flat road—easy driving without any uphill climbs. But if the slope were positive or negative, you'd feel the rise or drop with every turn on the road!