Unit 5 · 6 lessons
Linear and Non-Linear Relations
Tell linear and non-linear relations apart, describe a linear relation by its rate of change and initial value, write y = mx + b from a graph, table or story, compare two relations, and graph special lines, regions and transformed lines.
- 66 practice questions
- 45 flashcards
- 3 interactive lessons
Lessons
- 1Linear and Non-Linear RelationsUse tables of values, first differences and the shape of a graph to decide whether a relation is linear or non-linear, and describe growing and shrinking patterns.11 questions
- 2Rate of Change and Initial ValueDescribe a linear relation with two numbers, its initial value and its rate of change, and find them in a story, a table, a graph and an equation; tell direct variation from partial variation.Interactive11 questions
- 3Slope, y-Intercept and y = mx + bMeasure the steepness of a line as rise over run, find the slope from two points, a table or a graph, read the y-intercept, and write the equation of a line in the form y = mx + b.11 questions
- 4Comparing Two Linear RelationsCompare two linear relations with a table, a graph and equations, find their point of intersection, and explain what it means in a real decision such as choosing a plan.Interactive11 questions
- 5Special Lines, xy = k and InequalitiesGraph vertical and horizontal lines, lines of the form x + y = k, x − y = k and ax + by = k, the curve xy = k, and the shaded regions that show linear inequalities.11 questions
- 6Translating, Reflecting and Rotating LinesSee how translating, reflecting and rotating the line y = ax changes its equation: a vertical translation changes b, a reflection in an axis changes the sign of the slope, and a 90° rotation gives slope −1/a.Interactive11 questions