Math Problem Statement
Rewrite the equation in Ax + By = C form. Use integers for A, B, and C. y + 4 = -3(x - 1)
Solution
Let's solve the given equation:
The equation provided is:
We need to rewrite it in the form:
Steps:
- First, distribute the on the right-hand side:
- Subtract from both sides to isolate :
- Now, move all terms to one side to get it in the form :
Thus, the equation in form is:
Where , , and .
Would you like more details or have any questions? Here are some related questions for practice:
- How do you identify the slope and intercept from this equation?
- What is the slope of the line in the equation ?
- How would you graph the equation ?
- Can you write the equation in slope-intercept form from ?
- How do you convert a linear equation from point-slope form to standard form?
Tip: In standard form , it's customary to have as a positive integer, and all coefficients should ideally be integers.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Standard Form
Formulas
Ax + By = C
Theorems
-
Suitable Grade Level
Grades 7-9