\( \leftarrow \begin{array}{l}\text { Graph the linear equation. } \\ 4 x+2 y=16\end{array} \)

To graph the equation \(4x + 2y = 16\), you can start by rewriting it in slope-intercept form, \(y = mx + b\). Rearranging gives \(2y = -4x + 16\) and then \(y = -2x + 8\). The slope is -2, meaning the line goes down 2 units for every 1 unit it goes to the right. The y-intercept is 8, so you can plot the point (0, 8) on the y-axis. From there, use the slope to find another point, like (1, 6). Connecting these points will give you your line! Another fun way to graph is by finding the intercepts! For the x-intercept, set \(y = 0\) and solve \(4x = 16\), giving you \(x = 4\) (point (4, 0)). For the y-intercept, set \(x = 0\) to solve \(2y = 16\), giving \(y = 8\) (point (0, 8)). Plot these two points on a graph, draw a straight line through them, and voilà! You've graphed your linear equation beautifully.