Slopes and Perpendiculars - Practice

This math unit focuses on understanding and applying the concept of perpendicular slopes within different contexts of linear equations. It begins with basic calculations to find the negative reciprocal of given integer slopes and progresses to handling fractional and decimal slopes to identify perpendicular lines. The unit further develops by having learners convert and determine perpendicular slopes between different forms of linear equations, such as slope-intercept form, zero-intercept form, and standard form. Additionally, learners practice converting these equations for graphical representation, aiding in visual understanding and verification of perpendicular relationships. The depth of the unit increases as students move from initially identifying perpendicular slopes in simpler formats to manipulating complex algebraic forms and graphing them, thus building a comprehensive skill set in analyzing and constructing perpendicular lines within coordinate geometry. Throughout the unit, the primary emphasis remains on mastering the concept that the product of the slopes of perpendicular lines is -1, and applying this understanding in various mathematical scenarios.Skills you will learn include:

• Perpendiculars
• Y = mx + b
• Ax + Cy = C
• Perpendiculars of line equations
• Graphs from perpendiculars