Equation of a Straight Line

This topic introduces learners to the fundamental concepts behind linear equations and their graphical representation on the Cartesian plane. Students will explore the slope (gradient), y-intercept, and different forms of a straight-line equation such as the slope-intercept form (y = mx + c), point-slope form, and general form (Ax + By = C). Learners will engage with real-world scenarios like analysing trends, solving geometric problems, and interpreting linear relationships in data. The topic builds a strong foundation for higher-level algebra and coordinate geometry.

Learning Outcomes:
The learner should be able to:

• understand the relationship between a linear equation y=mx + c and its graph.
• determine the x and y intercepts of a given linear graph.
• Identify and interpret the gradient and y-intercept of a linear equation geometrically.
• determine the gradient of a straight line.
• state the gradient of a straight line when given the equation.

• find the equation of a straight line from given two points or a point and slope.

• apply the relationship of gradients of parallel and perpendicular lines to determine the equation of a straight line.

• Apply straight-line concepts to solve problems in geometry and real-life situations.