What for is this linear equation written?
 
 

What form is this linear equation written? 3m+n=71   1.Point-Slope form 

2.Standard Form

3.Slope-Intercept Form

The linear equation \( 3m + n = 71 \) is written in **Standard Form**.

### Explanation:
- **Standard Form** of a linear equation is typically written as \( Ax + By = C \), where \( A \), \( B \), and \( C \) are constants, and \( x \), \( y \) are variables.
- In this equation, \( 3m + n = 71 \), it matches the pattern of \( Am + Bn = C \) with \( A = 3 \), \( B = 1 \), and \( C = 71 \).

The other forms:
- **Point-Slope Form** is \( y - y_1 = m(x - x_1) \).
- **Slope-Intercept Form** is \( y = mx + b \).

Would you like more details or have any questions?

### 5 Related Questions:
1. How do you convert a linear equation from standard form to slope-intercept form?
2. What are the characteristics of an equation in slope-intercept form?
3. How do you graph a linear equation given in standard form?
4. What does the slope represent in a linear equation?
5. How can you find the intercepts from a linear equation in standard form?

**Tip:** When in standard form, it's easy to find the intercepts by setting one variable to zero and solving for the other.

What form is this linear equation written? 3m + n = 71

Learn how to identify the form of the linear equation 3m + n = 71. This problem explains how linear equations are categorized into Standard Form, Point-Slope Form, and Slope-Intercept Form. Suitable for students in Grades 8-10.

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