When the slope of a linear equation changes, it has a big impact on how the graph looks.
The slope, which we call in the equation , shows how much goes up or down when changes.
Here are some simple points to understand:
Positive Slope: If is positive (like ), the line goes up as you move from left to right.
Negative Slope: If is negative (like ), the line goes down as you move from left to right.
Steeper Lines: A bigger number for (like ) makes the line steeper. A smaller number (like ) means the line is less steep.
Flat Lines: If , the line is flat and stays the same level, meaning doesn't change as changes.
So, when the slope changes, it really changes how the line looks on the graph!
When the slope of a linear equation changes, it has a big impact on how the graph looks.
The slope, which we call in the equation , shows how much goes up or down when changes.
Here are some simple points to understand:
Positive Slope: If is positive (like ), the line goes up as you move from left to right.
Negative Slope: If is negative (like ), the line goes down as you move from left to right.
Steeper Lines: A bigger number for (like ) makes the line steeper. A smaller number (like ) means the line is less steep.
Flat Lines: If , the line is flat and stays the same level, meaning doesn't change as changes.
So, when the slope changes, it really changes how the line looks on the graph!