Let's analyze the graph and answer the questions based on the "Exit Ticket."

1. How to Identify the Slope

To identify the slope of a line, we calculate the "rise over run." This involves measuring the vertical change (rise) and horizontal change (run) between two points on the line.

In this graph, the points are:

• $(2,2)$
• $(6,8)$

2. Calculating the Slope

The formula for the slope $m$ between two points $(x_1, y_1)$ and $(x_2, y_2)$ is: $m = \frac{y_2 - y_1}{x_2 - x_1}$ Substitute the values: $m = \frac{8 - 2}{6 - 2} = \frac{6}{4} = \frac{3}{2}$ So, the slope of the line is $\frac{3}{2}$ or 1.5.

3. Showing the Values in a Table

To represent the values in a table, you can list the x-coordinates and their corresponding y-coordinates:

You can also include other points along the line that satisfy the equation, which in this case would be: $y = \frac{3}{2}x - 1$

Would you like more details on any of these points or have any questions?

Here are some related questions to consider:

1. How would you interpret the meaning of a positive slope like $\frac{3}{2}$?
2. What happens to the line if the slope is changed to a smaller or larger number?
3. How can you use the equation of a line to predict other points?
4. What is the y-intercept of this line, and how can it be identified from the equation?
5. Can you graph this line if given only the slope and a single point?

Tip: The slope tells you the rate of change of $y$ with respect to $x$; a larger slope indicates a steeper incline.