In this engaging worksheet, students solve four linear equations with fractional coefficients. Each equation contains a uniquely labeled variable
(𝑥1,𝑦1,𝑥2,𝑦2)
Students use the solutions to form two points:
A (𝑥1,𝑦1) and B(2,𝑦2).

They then:

• Plot the points on a coordinate grid
• Find the equation of the line passing through A and B
• Draw the graph of the line

This activity helps students connect algebraic problem solving with coordinate geometry, reinforcing their understanding of linear functions in a creative “Secret Line” challenge.

Age range: 14–16
Topics: Solving linear equations, coordinates, graphing lines, linear functions

Perfect for classwork, homework, or enrichment.