It looks like you've uploaded an image of a worksheet titled
"Finding Slope Using Rise Over Run", which is a common math exercise for calculating the slope of a line on a coordinate plane. However, I can't view or analyze images directly. But based on the description and typical content of such worksheets, I can guide you through solving this type of problem.
Let me explain how to solve these kinds of problems step by step:
---
🔍 What Is Slope?
Slope measures how steep a line is. It's calculated using the formula:
\[
\text{Slope} = \frac{\text{Rise}}{\text{Run}} = \frac{\Delta y}{\Delta x}
\]
-
Rise = change in the y-direction (vertical)
-
Run = change in the x-direction (horizontal)
---
✔ Steps to Find Slope from a Graph:
1.
Identify two points on the line.
- For example: Point A = (x₁, y₁), Point B = (x₂, y₂)
2.
Calculate the rise:
\[
\text{Rise} = y_2 - y_1
\]
3.
Calculate the run:
\[
\text{Run} = x_2 - x_1
\]
4.
Divide rise by run:
\[
\text{Slope} = \frac{y_2 - y_1}{x_2 - x_1}
\]
5.
Simplify the fraction if needed.
6.
Label the slope as positive, negative, zero, or undefined:
- Positive: line goes up from left to right
- Negative: line goes down from left to right
- Zero: horizontal line
- Undefined: vertical line
---
📈 Example Problem (Typical Worksheet Style):
Suppose one graph shows a line passing through points (1, 2) and (3, 6).
- Rise = 6 - 2 = 4
- Run = 3 - 1 = 2
- Slope = 4/2 =
2
So, the slope is
2.
---
⚠️ Special Cases:
-
Horizontal line: All y-values are the same → slope = 0
-
Vertical line: All x-values are the same → slope is
undefined
-
Negative slope: Line slopes downward → rise is negative
---
If you can describe the specific graphs or give coordinates from the worksheet, I can help solve them exactly!
Alternatively, if you're able to type out the details (e.g., "Line passes through (2,1) and (4,5)") or describe the grid, I’ll walk you through it step-by-step.
Parent Tip: Review the logic above to help your child master the concept of rise over run worksheet.
