How do you graph the equation y=kx?
To graph the equation y = kx, where k is a constant, you can follow these steps:
1. Choose a range of values for x: Select a set of x-values that will give you a good representation of the graph. For simplicity, you can usually choose a range like -5 to 5.
2. Substitute the chosen x-values into the equation: Replace x with each value you selected in step 1, one at a time, and solve for y. This will give you pairs of (x, y) coordinates.
3. Plot the points: On a graph, plot each coordinate pair (x, y) you obtained in step 2. If the value of k is positive, the graph will have a positive slope; if k is negative, the slope will be negative.
4. Connect the points: Once you have plotted all the points, use a ruler or straight edge to connect them. This will produce a straight line.
5. Extend the line: If the graph is a straight line, you can extend it in both directions to show the full line. If the graph is only shown partially, you can estimate where the line would continue.
That's it! By following these steps, you can graph the equation y = kx.