To solve linear equations by making changes to their graphs, I follow a few easy steps:

1. Find the Equation: Start with the equation in a simple form, like $y = mx + b$.

2. Make Changes:

   • Shifts: Adjusting the $b$ value moves the line up or down. For example, if you add 2 to $b$, the line goes up 2 spaces.
   • Flips: Changing the $m$ value from positive to negative flips the line over the x-axis.

3. Draw the New Equation: Plot the new line on a graph. Look for where it crosses the x-axis or another line to find the solutions.

This way, it’s much easier to see the answers!