2.20 Sketching Straight Line Equation from Gradient and y-intercept GCSE PowerPoint Lesson

In this 24-slide lesson, students will learn how to sketch the graph of a straight-line equation using the gradient and y-intercept, without relying on a table of values. Through visual and discovery-based activities, they will explore the properties of parallel and perpendicular lines, as well as the special cases of horizontal (y = c) and vertical (x = c) lines. The lesson builds on prior knowledge of gradient and coordinates, encouraging pupils to make connections between equations and their graphical representations. By the end, students will develop a more intuitive understanding of linear graphs and how changes to an equation affect its graph.

The lesson includes:

• Clear, guided examples

• One structured task to practise key skills

• Challenge activity to extend and deepen learning

Perfect for engaging learners while reinforcing essential algebra concepts.