Graph this line using the slope and \( y \)-intercept: \[ y=\frac{1}{9} x+9 \] Click to select points on the graph.

To graph the line described by the equation \( y = \frac{1}{9} x + 9 \), start by identifying the \( y \)-intercept, which is the point where the line crosses the \( y \)-axis. Here, the \( y \)-intercept is 9; hence, the point is (0, 9). Next, the slope of the line is \( \frac{1}{9} \), which means for every 9 units you move to the right along the \( x \)-axis, you move up 1 unit on the \( y \)-axis. From the \( y \)-intercept, if you move 9 units to the right to the point (9, 9), you'll only go up 1 unit to (9, 10). Connect these points with a straight line to complete the graph! To ensure the line is accurate, you might also check additional points by substituting other \( x \)-values. For instance, if you substitute \( x = -9 \), you will get \( y = \frac{1}{9} (-9) + 9 = 8 \), resulting in the point (-9, 8). Plotting a few additional points based on the equation can help you create a smoother and more accurate line on your graph.