Question

The equation y = 8x + 12, where x is the number of hours and y is the total cost, represents what the surf instructor charges for lessons. Use this information to describe how to draw the line on a graph. write it like an 8th grader and make the writing short

Answer 1

To draw the line for the equation \(y = 8x + 12\) on a graph, follow these steps:

1. **Start with the y-intercept**: Find the point where the line crosses the y-axis. For this equation, when \(x = 0\), \(y = 12\). So, plot the point (0, 12) on the graph.

2. **Use the slope**: The number 8 in the equation is the slope. This means that for every 1 hour (1 unit increase in \(x\)), the cost (\(y\)) goes up by 8. From the point (0, 12), move 1 unit right (to 1 on the x-axis) and 8 units up (to 20 on the y-axis). Plot this second point at (1, 20).

3. **Draw the line**: Now that you have at least two points, connect them with a straight line.

4. **Extend the line**: Make sure the line goes through both points and extends in both directions.

5. **Label the axes**: Don’t forget to label the x-axis as "Hours" and the y-axis as "Total Cost".

Now you have a graph that shows the cost of surf lessons based on the number of hours!