Let's solve each problem on the
X and Y Intercepts Worksheet (Day 3). For each graph, we need to identify:
- The
x-intercept: where the line crosses the
x-axis (y = 0). This is written as an ordered pair:
(x, 0).
- The
y-intercept: where the line crosses the
y-axis (x = 0). This is written as an ordered pair:
(0, y).
---
1. Graph 1
Looking at the first graph:
- The line crosses the
x-axis at
x = 2, so the x-intercept is
(2, 0).
- The line crosses the
y-axis at
y = -2, so the y-intercept is
(0, -2).
✔ Answer:
- x-intercept:
(2, 0)
- y-intercept:
(0, -2)
---
2. Graph 2
The line goes from top-left to bottom-right:
- It crosses the
x-axis at
x = 1, so x-intercept is
(1, 0).
- It crosses the
y-axis at
y = 4, so y-intercept is
(0, 4).
✔ Answer:
- x-intercept:
(1, 0)
- y-intercept:
(0, 4)
---
3. Graph 3
This line is vertical? No — it’s steep but not vertical. Let's see:
- It crosses the
x-axis at
x = -1, so x-intercept is
(-1, 0).
- It crosses the
y-axis at
y = 3, so y-intercept is
(0, 3).
✔ Answer:
- x-intercept:
(-1, 0)
- y-intercept:
(0, 3)
---
4. Graph 4
Line goes from bottom-left to top-right:
- Crosses
x-axis at
x = -2, so x-intercept is
(-2, 0).
- Crosses
y-axis at
y = 2, so y-intercept is
(0, 2).
✔ Answer:
- x-intercept:
(-2, 0)
- y-intercept:
(0, 2)
---
5. Graph 5
Steep positive slope:
- Crosses
x-axis at
x = 1, so x-intercept is
(1, 0).
- Crosses
y-axis at
y = -4, so y-intercept is
(0, -4).
✔ Answer:
- x-intercept:
(1, 0)
- y-intercept:
(0, -4)
---
6. Graph 6
Line going from top-left to bottom-right:
- Crosses
x-axis at
x = 3, so x-intercept is
(3, 0).
- Crosses
y-axis at
y = -2, so y-intercept is
(0, -2).
✔ Answer:
- x-intercept:
(3, 0)
- y-intercept:
(0, -2)
---
✔ Final Answers Summary:
| Problem | x-intercept | y-intercept |
|--------|-------------|-------------|
| 1 | (2, 0) | (0, -2) |
| 2 | (1, 0) | (0, 4) |
| 3 | (-1, 0) | (0, 3) |
| 4 | (-2, 0) | (0, 2) |
| 5 | (1, 0) | (0, -4) |
| 6 | (3, 0) | (0, -2) |
---
🔍 How to Find Intercepts:
-
x-intercept: Set
y = 0, find where the line hits the x-axis.
-
y-intercept: Set
x = 0, find where the line hits the y-axis.
- On a graph, just look for the point where the line crosses each axis.
Let me know if you'd like this turned into a printable answer key!
Parent Tip: Review the logic above to help your child master the concept of finding slope and y intercept worksheet.
