Using algebra to find the point of intersection of two lines

Task goals

• Find the point of intersection of two straight lines by equating their equations and solving for the coordinates.
• Set two line equations equal ($y = mx + c$ form) and solve to find the x-coordinate, then substitute to find the y-coordinate.
• Work with lines given in different forms (e.g., $y = mx + c$ and $ax + by = c$) and rearrange to a solvable system.
• Verify that a point lies on both line equations to check the intersection is correct.
• Apply intersection-finding to solve problems involving two linear relationships.