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## What is the difference between negative and positive slopes?

A positive slope moves upward on a graph from left to right. A negative slope moves downward on a graph from left to right.

What happens when slope is negative?

If the slope is negative, then the rise and the run have to be opposites of each other, one has to be positive and one has to be negative. In other words, you will be going up and to the left OR down and to the right.

What is an example of a negative slope?

For example, as the number of people that quit smoking (x) increases, the number of people contracting lung cancer (y) decreases. A graph of this relationship has a negative slope.

### Is a positive sloping curve?

A positive slope means that two variables are positively related—that is, when x increases, so does y, and when x decreases, y also decreases. Graphically, a positive slope means that as a line on the line graph moves from left to right, the line rises.

What is positive and negative on a graph?

The positive regions of a function are those intervals where the function is above the x-axis. It is where the y-values are positive (not zero). • The negative regions of a function are those intervals where the function is below the x-axis. It is where the y-values are negative (not zero).

What does a line with a negative slope look like?

Definition of Negative Slope Lines A line with a negative slope is a line that is trending downward from left to right. In other words, the line’s rise to run ratio is a negative value. In this image, the car is driving down a hill that has a negative slope. Notice that the hill is moving downward from left to right.

#### Where is the negative and positive on a graph?

The positive regions of a function are those intervals where the function is above the x-axis. It is where the y-values are positive (not zero). The negative regions of a function are those intervals where the function is below the x-axis. It is where the y-values are negative (not zero).

How do you graph a line with a negative slope?

Example 2: Graphing a Negative Slope

1. Plot the 1st point. ( 0,7)
2. Count the rise. (We went down 3 since the slope was negative.
3. Count the run. ( The denominator is 1, so we went right 1)
4. Plot the 2nd point.
5. Repeat the process if you’d like to plot a 3rd point.
6. Draw a line through your points.

What is an example of a positive slope?

In our pizza example, a positive slope tells us that as the number of toppings we order (x) increases, the total cost of the pizza (y) also increases. For example, as the number of people that quit smoking (x) increases, the number of people contracting lung cancer (y) decreases.

## Which line has a negative slope?

Definition of Negative Slope Lines A line with a negative slope is a line that is trending downward from left to right. In other words, the line’s rise to run ratio is a negative value. In this image, the car is driving down a hill that has a negative slope.

What does a negative slope tell you about a line?

Positive slope means that the line is increasing, in other words moving from left to right. Negative slope means that the line is decreasing or moving from right to left. Zero slope on the other hand means that the line is horizontal i.e. parallel to the x-axis.

What happens to a line when the slope is negative?

A negative slope means that two variables are negatively related; that is, when x increases, y decreases, and when x decreases, y increases. Graphically, a negative slope means that as the line on the line graph moves from left to right, the line falls .

### What is a line with a positive slope?

A line with a positive slope (m > 0), as the line above, rises from left to right whereas a line with a negative slope (m < 0) falls from left to right. If two lines have the same slope the lines are said to be parallel. You can express a linear function using the slope intercept form.

How to calculate negative slope?

Negative slope is calculated just like any other type of slope. You can find it by dividing the rise of two points (the difference along the vertical or y-axis) by the run (the difference along the x-axis). Just remember that the “rise” is really a fall, so the resulting number will be negative.