Express the following linear equations in the form ax+by+c=0 and indicate the values of a,b and c in each case 2x+3y=9.35

The equation given is:

\[ 2x + 3y = 9.35 \]

To express this in the form \( ax + by + c = 0 \), we need to move the constant term to the left side of the equation.

So, subtract \( 9.35 \) from both sides:

\[ 2x + 3y - 9.35 = 0 \]

This equation is now in the form \( ax + by + c = 0 \), where:

- \( a = 2 \)
- \( b = 3 \)
- \( c = -9.35 \)

Would you like further details or have any questions?

Here are 5 related questions:
1. How would you express the equation \( 5x - 4y = 7.25 \) in the form \( ax + by + c = 0 \)?
2. What are the values of \( a \), \( b \), and \( c \) in the equation \( x - y = 3 \)?
3. How can you convert a linear equation in slope-intercept form \( y = mx + b \) to \( ax + by + c = 0 \)?
4. If an equation is given in the form \( ax + by + c = 0 \), how do you find the slope of the line?
5. What does the value of \( c \) represent in the equation \( ax + by + c = 0 \)?

**Tip:** When rewriting equations, ensure all terms are on one side for consistency in form.

Learn how to express linear equations in the standard form ax + by + c = 0 with a detailed step-by-step solution. This problem covers fundamental concepts in algebra, focusing on rearranging equations and identifying coefficients. Suitable for students in Grades 7-9.

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