Worksheet titled "Finding Slope From a Graph" from Kuta Software - Infinite Algebra 1, featuring six problems with lines on coordinate grids.

You're working on a worksheet titled “Finding Slope From a Graph” from *Kuta Software - Infinite Algebra 1*. The goal is to find the slope of each line shown in the graphs.

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📌 What is Slope?

Slope measures the steepness of a line and is calculated using the formula:

> Slope (m) = (change in y) / (change in x) = rise / run

You can pick any two points on the line, then count how many units you go up/down (rise) and how many units you go left/right (run) from one point to the other.

- If the line goes up as you move right → positive slope
- If the line goes down as you move right → negative slope
- Horizontal line → slope = 0
- Vertical line → undefined slope

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Let’s solve each problem one by one.

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## ✔ Problem 1

Graph: Line passes through origin (0,0) and point (2,1)

- From (0,0) to (2,1):
- Rise = +1 (up 1)
- Run = +2 (right 2)
- Slope = 1/2

> Answer: ½

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## ✔ Problem 2

Graph: Line passes through (-2, 1) and (0, -1) — or you can use (-4, 3) and (0, -1)

Let’s use (-4, 3) and (0, -1):

- Rise = -1 - 3 = -4
- Run = 0 - (-4) = +4
- Slope = -4/4 = -1

> Answer: -1

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## ✔ Problem 3

Graph: Line passes through (-2, -1) and (0, 0) — or (2, 1)

From (-2, -1) to (0, 0):

- Rise = 0 - (-1) = +1
- Run = 0 - (-2) = +2
- Slope = 1/2

> Answer: ½

*(Same as Problem 1 — different position, same slope)*

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## ✔ Problem 4

Graph: Line passes through (-2, 2) and (0, 0)

From (-2, 2) to (0, 0):

- Rise = 0 - 2 = -2
- Run = 0 - (-2) = +2
- Slope = -2/2 = -1

> Answer: -1

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## ✔ Problem 5

This graph is blurred, but from what’s visible, it appears to be a horizontal line.

- A horizontal line has no vertical change → rise = 0
- So, slope = 0 / run = 0

> Answer: 0

*(If it were vertical, slope would be undefined — but this looks horizontal.)*

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## ✔ Problem 6

This graph is also blurry, but it appears to be a vertical line.

- A vertical line has no horizontal change → run = 0
- Division by zero → undefined slope

> Answer: undefined

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## 🧾 Final Answers:

1) ½
2) -1
3) ½
4) -1
5) 0
6) undefined

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✔ Tip for checking your work: Always double-check that you’re counting correctly — up/down for rise, left/right for run. Use grid lines to help!

Let me know if you want to see how to write the slope formula with coordinates for any of these!