Math Problem Statement
Solution
The equation in the image is:
This is a linear equation in two variables, and . To simplify or rearrange this equation, we can express it in a more common form, such as slope-intercept form () or standard form ().
Let’s first solve for :
Subtract and from both sides: Now, divide both sides by 4 to solve for :
This is the equation in slope-intercept form (), where the slope and the y-intercept .
Would you like more details on this process or have any specific questions?
Here are five related questions:
- How do you graph the equation ?
- What is the x-intercept of the equation ?
- How do you convert the equation into standard form?
- What is the slope of the line represented by this equation?
- How can this equation be used to find points on the line?
Tip: When solving for in an equation, always try to isolate on one side to put the equation in a useful form, like the slope-intercept form.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
Slope-intercept form: y = mx + b
Theorems
Linear equation theorem
Slope of a line
Suitable Grade Level
Grades 8-10