Equations of Lines and Slope

Site: Young Education
Course: Coordinate Geometry
Book: Equations of Lines and Slope
Printed by: Guest user
Date: Friday, 25 September 2026, 1:01 AM

1. Understanding Slope

Learning outcomes
  • I can explain slope as a measure of steepness and direction.
  • I can calculate slope from the coordinates of two points.
  • I can identify positive, negative, zero, and undefined slopes.
  • I can interpret the meaning of slope in real-world contexts.
  • I can compare lines based on their slopes.

2. Slope-Intercept Form

Learning outcomes
  • I can identify the slope and y-intercept in an equation written in slope-intercept form.
  • I can graph a line from its slope and y-intercept.
  • I can write an equation in slope-intercept form from a graph.
  • I can describe how changing the slope affects the graph of a line.
  • I can describe how changing the y-intercept affects the graph of a line.

3. Point-Slope Form

Learning outcomes
  • I can explain when point-slope form is useful.
  • I can write the equation of a line using a point and a slope.
  • I can convert point-slope form into slope-intercept form.
  • I can determine whether a point lies on a given line.
  • I can solve problems involving lines defined by a point and slope.

4. Parallel and Perpendicular Lines

Learning outcomes
  • I can identify parallel lines using their slopes.
  • I can identify perpendicular lines using their slopes.
  • I can write equations of lines parallel to a given line.
  • I can write equations of lines perpendicular to a given line.
  • I can apply parallel and perpendicular relationships to geometric problems.

5. Writing Equations of Lines

Learning outcomes
  • I can determine the equation of a line given two points.
  • I can determine the equation of a line from a graph.
  • I can determine the equation of a line from a point and slope.
  • I can select the most appropriate equation form for a given situation.
  • I can use line equations to model real-world relationships.