Graph this line using the slope and \( y \)-intercept \[ y=\frac{9}{7} x-10 \] Click to select points on the graph.

To graph the line given by the equation \( y=\frac{9}{7} x-10 \), start by identifying the \( y \)-intercept, which is the point where the line crosses the \( y \)-axis. Here, that point is (0, -10). Next, using the slope of \( \frac{9}{7} \), which means for every 7 units you move to the right on the \( x \)-axis, you move up 9 units on the \( y \)-axis, plot additional points such as (7, -1) by starting from (0, -10) and applying the slope. Once you have enough points, draw a straight line through them, extending it in both directions. And voilà, you've got your line colored in with the essence of geometry! Remember that the slope indicates how steep the line is, so the rise over run truly brings a visual representation to your graphing adventure!