Chapter 1
Algebra
Course: Sat Prep
Subject: Math
Chapter: Algebra
By the end of this lesson, you will be able to:
- Define slope and explain its significance in linear relationships.
- Calculate the slope of a line using the slope formula.
- Interpret slope as rise over run.
- Identify positive, negative, zero, and undefined slopes from equations, graphs, and tables.
- Determine the average rate of change of a linear function.
- Interpret slope and rate of change in real-world contexts.
- Apply slope concepts to solve Digital SAT-style problems.
What Is Slope?
The slope of a line measures its steepness and direction. It describes how much the output (the -value) changes for a given change in the input (the -value). In other words, slope tells us the rate of change between two variables.
If a line rises steeply from left to right, it has a large positive slope. If it falls steeply, it has a large negative slope. Horizontal lines have no vertical change, while vertical lines have no defined slope.