Gradient of Lines in Mathematical Methods VCE

This topic explores the concept of slope, how to calculate gradients, and their applications in linear equations.

Content Covered

• Definition of gradient: Rise over run formula

• Finding gradients: Using two points on a line

• Parallel and perpendicular lines: Relationship between slopes

• Equation of a line: Gradient-intercept form and point-slope form

• Applications: Distance, midpoint, and angle of inclination

Main Topics Assessed

• Calculating gradients from graphs and equations

• Determining equations of lines given points or slopes

• Understanding relationships between parallel and perpendicular lines

• Applying gradient concepts to geometric problems