what are the x and y-intercepts of    3x-9y=10.8

To find the x- and y-intercepts of the equation \( 3x - 9y = 10.8 \), we proceed as follows:

### 1. Finding the x-intercept:
The x-intercept occurs when \( y = 0 \). So, substitute \( y = 0 \) into the equation and solve for \( x \).

\[
3x - 9(0) = 10.8
\]
\[
3x = 10.8
\]
\[
x = \frac{10.8}{3} = 3.6
\]

Thus, the x-intercept is \( (3.6, 0) \).

### 2. Finding the y-intercept:
The y-intercept occurs when \( x = 0 \). So, substitute \( x = 0 \) into the equation and solve for \( y \).

\[
3(0) - 9y = 10.8
\]
\[
-9y = 10.8
\]
\[
y = \frac{10.8}{-9} = -1.2
\]

Thus, the y-intercept is \( (0, -1.2) \).

### Summary:
- The x-intercept is \( (3.6, 0) \).
- The y-intercept is \( (0, -1.2) \).

Would you like further details or have any questions?

### 5 Related Questions:
1. How do you find intercepts for nonlinear equations?
2. Can you find the slope of the line given by \( 3x - 9y = 10.8 \)?
3. How do x- and y-intercepts help in graphing lines?
4. What is the significance of intercepts in real-life applications?
5. Can we solve the equation \( 3x - 9y = 10.8 \) for \( y \) in terms of \( x \)?

### Tip:
When finding intercepts, always substitute 0 for the other variable to simplify the equation.

What are the x and y-intercepts of 3x - 9y = 10.8?

Learn how to find the x- and y-intercepts of the linear equation 3x - 9y = 10.8. This step-by-step solution shows how to calculate intercepts by setting one variable to zero and solving for the other, using core algebra concepts. Suitable for Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation