X and Y intercepts worksheet - Free Printable

Educational worksheet: X and Y intercepts worksheet. Download and print for classroom or home learning activities.

JPG 1000×1291 105.8 KB Free · Personal Use

Quality Assured by Worksheets Library Team

Reviewed for educational accuracy and age-appropriateness

ID: #735886

✨ Generate New Worksheet

⭐

Show Answer Key & Explanations Step-by-step solution for: X and Y intercepts worksheet

▼

1. For the equation \( y = -x + 5 \):
- To find the x-intercept, set \( y = 0 \):
\[
0 = -x + 5 \implies x = 5
\]
So, the x-intercept is \( (5, 0) \).
- To find the y-intercept, set \( x = 0 \):
\[
y = -0 + 5 \implies y = 5
\]
So, the y-intercept is \( (0, 5) \).

2. For the equation \( y = \frac{1}{2}x - 8 \):
- To find the x-intercept, set \( y = 0 \):
\[
0 = \frac{1}{2}x - 8 \implies \frac{1}{2}x = 8 \implies x = 16
\]
So, the x-intercept is \( (16, 0) \).
- To find the y-intercept, set \( x = 0 \):
\[
y = \frac{1}{2}(0) - 8 \implies y = -8
\]
So, the y-intercept is \( (0, -8) \).

3. For the equation \( y = -\frac{4}{3}x + 2 \):
- To find the x-intercept, set \( y = 0 \):
\[
0 = -\frac{4}{3}x + 2 \implies \frac{4}{3}x = 2 \implies x = \frac{2 \cdot 3}{4} = \frac{6}{4} = \frac{3}{2}
\]
So, the x-intercept is \( \left(\frac{3}{2}, 0\right) \).
- To find the y-intercept, set \( x = 0 \):
\[
y = -\frac{4}{3}(0) + 2 \implies y = 2
\]
So, the y-intercept is \( (0, 2) \).

Parent Tip: Review the logic above to help your child master the concept of solving for x and y intercepts worksheet.

Print Download

How to use

Click Print to open a print-ready version directly in your browser, or use Download to save the file to your device. The ⭐ Answer button generates an AI answer key instantly - useful for teachers who need a quick reference. Need a different version? Our AI Worksheet Generator lets you create a custom worksheet on any topic in seconds.

Related worksheets: solving for x and y intercepts worksheet