Intersecting Lines

Two straight lines that are not parallel cross at one point, the point of intersection, and its coordinates fit both rules. In NSW Year 8 maths, students find this point from a graph or from a table of values (NESA outcome MA4‑LIN‑C‑01).

You will read intersection points from graphs and use them to solve equations such as \(2x + 1 = 7 - x\), find where two rows of a table give the same \(y\)-value, and check a point by substituting it into both rules. You will compare phone plans, bike hire shops and dance studios to see when one becomes cheaper, find when one walker catches another, and find the corners of a triangle formed by three lines. It is part of Year 8 Graphing Linear Equations.