Based on the "Intro to Slope" worksheet visible in the image, here is the solution to the problem asking for the slope of the line.
Step-by-step Solution:
1.
Identify the Formula: The image provides the formula for slope:
$$\text{Slope} = \frac{\text{Rise}}{\text{Run}}$$
*
Rise is the vertical change (how much you go up or down).
*
Run is the horizontal change (how much you go left or right).
2.
Analyze the Graph: Look at the two points marked with red dots on the blue line.
* Start at the point on the left (at $x = -6$).
* Move to the point on the right (at $x = -3$).
3.
Count the Rise (Vertical Change):
* From the starting point, count how many grid squares you need to go
up to reach the level of the second point.
* Counting the squares vertically, we go up
2 units.
* So, $\text{Rise} = 2$.
4.
Count the Run (Horizontal Change):
* From that position, count how many grid squares you need to go
right to land exactly on the second point.
* Counting the squares horizontally, we go right
3 units.
* So, $\text{Run} = 3$.
5.
Calculate the Slope:
* Plug the numbers into the fraction:
$$\text{Slope} = \frac{2}{3}$$
The calculation matches the large yellow fraction shown in the blue box on the worksheet.
Final Answer:
The slope of the line is
2/3.
Parent Tip: Review the logic above to help your child master the concept of math for 9th graders worksheets.
