When you draw linear equations on a graph, it's really important to understand positive and negative slopes. This helps you see how the line acts.
Positive Slope:
A line with a positive slope goes up as you move from left to right. Think of it like hiking uphill.
For example, in the equation (y = 2x + 1), the slope is 2. This means that for every step you take to the right on the x-axis, the line goes up 2 steps on the y-axis.
Negative Slope:
On the other hand, a line with a negative slope goes down as you move from left to right. It’s like walking downhill.
Take the equation (y = -3x + 4). The slope here is -3. This means that for every step you take to the right, the line drops down 3 steps.
Visual Examples:
Positive Slope Example:
Negative Slope Example:
If you remember these details and practice with different equations, you will get better at spotting slopes when you graph linear equations!
When you draw linear equations on a graph, it's really important to understand positive and negative slopes. This helps you see how the line acts.
Positive Slope:
A line with a positive slope goes up as you move from left to right. Think of it like hiking uphill.
For example, in the equation (y = 2x + 1), the slope is 2. This means that for every step you take to the right on the x-axis, the line goes up 2 steps on the y-axis.
Negative Slope:
On the other hand, a line with a negative slope goes down as you move from left to right. It’s like walking downhill.
Take the equation (y = -3x + 4). The slope here is -3. This means that for every step you take to the right, the line drops down 3 steps.
Visual Examples:
Positive Slope Example:
Negative Slope Example:
If you remember these details and practice with different equations, you will get better at spotting slopes when you graph linear equations!