How To Find Y Intercept On A Graph Or Table - Free Printable

Absolutely! Let’s solve this worksheet step by step. The goal is to find the y-intercept in each graph and table.

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## 📌 What is a Y-Intercept?

The y-intercept is the point where a line (or curve) crosses the y-axis. At this point, the x-value is always 0.

So:
> Y-intercept = the value of y when x = 0

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# ✔ Part 1: Finding Y-Intercept from Graphs

Problem 1)

Looking at the first graph:

- It’s a straight line going downward from left to right.
- We need to find where it crosses the y-axis (the vertical line where x = 0).
- Visually, the line crosses the y-axis at y = 2.

✔ Answer: 2

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Problem 2)

Second graph:

- Line goes upward from left to right.
- Crosses the y-axis at y = -1.

✔ Answer: -1

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> 💡 Tip: Always look for where the line crosses the vertical axis (y-axis). That’s your y-intercept!

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# ✔ Part 2: Finding Y-Intercept from Tables

Remember: Find the row where x = 0 → that y-value is the y-intercept.

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Problem 1)

| x | y |
|----|-----|
| -2 | -20 |
| -1 | -23 |
| 0 | -26 ← This is the y-intercept! |
| 1 | -29 |

✔ Answer: -26

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Problem 2)

| x | y |
|---|----|
| 1 | 10 |
| 2 | 15 |
| 3 | 20 |
| 4 | 25 |

→ There is no row where x = 0.

But we can find the pattern or equation to figure out what y would be when x = 0.

Let’s find the slope:

From x=1 to x=2: y increases by 5 → slope = 5
From x=2 to x=3: y increases by 5 → slope = 5
So, it’s a linear function with slope 5.

Use point-slope form or just go backward:

At x=1, y=10
If we go back 1 unit in x (to x=0), y decreases by 5 → 10 - 5 = 5

✔ Answer: 5

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Problem 3)

| x | y |
|---|----|
| 2 | -8 |
| 4 | -4 |
| 6 | 0 |
| 8 | 4 |

Again, no x=0. Let’s find the pattern.

From x=2 to x=4: y increases by 4 → over 2 units → slope = 4/2 = 2

Check:
x=4 to x=6: y from -4 to 0 → +4 → slope = 4/2 = 2 ✓
x=6 to x=8: y from 0 to 4 → +4 → slope = 2 ✓

So slope = 2.

Now, go backward from x=2, y=-8:

To get to x=0, go back 2 units → y decreases by 2×2 = 4 → -8 - 4 = -12

✔ Answer: -12

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## 🎯 Final Answers:

Part 1: Graphs

1) 2
2) -1

Part 2: Tables

1) -26
2) 5
3) -12

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## 🧠 Summary

- From graphs: Look for where the line crosses the y-axis (x=0).
- From tables: Find the y-value when x=0. If not given, use the pattern/slope to calculate it.

You’ve got this! Keep practicing — finding intercepts is foundational for understanding linear equations. 😊