Step 1: Solve two equations(linear equations in two variables) to find the coordinate (x or y) at the point of intersection
NOTE: If line intersecting the y-axis then put x = 0 in the equation or
If line intersecting the x-axis then put y = 0 in the equation.
Step 2: Substitute the coordinator (calculated in step 1) in the either of the equations to find the another coordinate. (x or y)
NOTE: The y-coordinate can be found by placing the x-coordinate, into either of the equations for the lines and solving for y vise versa.
Step 3: You now have the x-coordinate and y-coordinate for the point of intersection.
NOTE: As a check for your work plug the x-coordinate into the other equation and you should get the same y-coordinate.