Key Concepts:
- Linear Function (Linear Equations in Two Variables): An equation that takes the form (y = mx + b), where m is the slope and b is the y-intercept.
- Slope: The steepness (rise over run) of the line, representing the rate of change which indicates how much y changes for each unit increase in x.
- Y-intercept: Where the line intersects the y-axis ((x = 0)).
Skills Covered:
- Identifying slope and y-intercept from an equation.
- Writing equations in slope-intercept form ((y = mx + b)).
Example Problems:
- Identify the slope of (y = 3x - 5).
- Find the slope and y-intercept of the equation (3x + 5y = 15).