Math Problem Statement

2y -x = 0

Solution

The given equation is:

2yx=02y - x = 0

Solving for yy in terms of xx:

2y=x2y = x y=x2y = \frac{x}{2}

This represents a linear equation with:

  • Slope (mm) = 12\frac{1}{2}
  • Y-intercept (bb) = 00, meaning the line passes through the origin (0,0)(0,0).

Solving for xx in terms of yy:

x=2yx = 2y

Would you like a graph of this equation? Or do you have any questions?

Here are some related questions for deeper understanding:

  1. How do you find the slope and intercept from an equation?
  2. How can you determine if two lines are parallel or perpendicular?
  3. How do you convert between different forms of linear equations?
  4. What is the significance of the slope in a real-world context?
  5. How do you find the distance between a point and a line?

Tip: The equation 2yx=02y - x = 0 can also be written in standard form as Ax+By=CAx + By = C, where A=1A = -1, B=2B = 2, and C=0C = 0.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Slope-Intercept Form

Formulas

y = x/2
x = 2y

Theorems

Slope formula
Linear equation properties

Suitable Grade Level

Grades 8-10