Slope Intro 2

Slope Intro 2

Recap from yesterday

- Slope represents the steepness of a line
- To write the slope as a ratio, find 2 points on the line and calculate:

 $\frac{\text{change in y}}{\text{change in x}}$  or  $\frac{\text{rise}}{\text{run}}$  
- From left to right: if the line goes up, the slope is positive
- From left to right: if the line goes down, the slope is negative

Which slope is positive and which slope is negative?

Multiple Choice

Does this line have a positive or negative slope?

• Positive

• Negative

Multiple Choice

Does this line have a positive or negative slope?

• Positive

• Negative

Calculating Slope

•  $\frac{\text{change in y}}{\text{change in x}}=\frac{\text{rise}}{\text{run}}$  

• In this graph, to get from the left point to the right point we move up 4 units and right 5 units

•  $slope=\frac{4}{5}$  

Multiple Choice

To get between two points you move 4 units up, 6 units to the right. What is the slope?

• $\frac{4}{6}$

• $\frac{6}{4}$

Multiple Choice

What is the slope?

• $\frac{1}{4}$

• $\frac{4}{1}$

What is the slope?

• What is the change in y (vertical change)?

• Slope = 0

• A horizontal line has no steepness or slant

Main Points

• Slope is a number that describes the steepness of a line

• Lines that are left-to-right inclining have a positive slope, and lines that are left-to-right declining have a negative slope

• We can find the slope of a line by looking at the graph’s unit rate