Math Problem Statement
X-2y-4=0
Solution
The given equation is:
We can rearrange this equation to solve for in terms of .
Step-by-step solution:
- Add 4 to both sides:
- Subtract from both sides:
- Divide both sides by :
Simplifying this:
So, the equation of the line in slope-intercept form is:
This represents a straight line with a slope of and a y-intercept of .
Would you like more details on how to graph this, or any further explanation?
Here are 5 related questions you might be interested in:
- How do you find the slope of a line from an equation?
- What is the slope-intercept form of a line and how is it derived?
- How do you find the x- and y-intercepts of a linear equation?
- How can you determine whether two lines are parallel or perpendicular?
- How do you solve a system of linear equations?
Tip: When converting to slope-intercept form, always rearrange the equation so that is isolated on one side for easy identification of slope and intercepts.
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Slope-Intercept Form
Formulas
Slope-Intercept Form: y = mx + b
Theorems
Linear Equation Theorem
Suitable Grade Level
Grades 8-10