Interpret the Plotted Graph - JSS2 Mathematics Lesson Note

The graph of a linear equation shows all the solutions to the equation. Each point on the line represents a pair (x, y) that satisfies the equation.

Example:

For 𝑦=2𝑥+1:

When 𝑥=1, 

𝑦=3

When 𝑥=2, 

𝑦=5

The slope of the line (rise/run) is 2, meaning for every unit increase in 𝑥, 𝑦 increases by 2 units. The y-intercept (where the line crosses the y-axis) is 1.