Math Problem Statement

X-2y-4=0

Solution

The given equation is:

x2y4=0x - 2y - 4 = 0

We can rearrange this equation to solve for yy in terms of xx.

Step-by-step solution:

  1. Add 4 to both sides:

x2y=4x - 2y = 4

  1. Subtract xx from both sides:

2y=x+4-2y = -x + 4

  1. Divide both sides by 2-2:

y=x+42y = \frac{-x + 4}{-2}

Simplifying this:

y=x22y = \frac{x}{2} - 2

So, the equation of the line in slope-intercept form is:

y=12x2y = \frac{1}{2}x - 2

This represents a straight line with a slope of 12\frac{1}{2} and a y-intercept of 2-2.

Would you like more details on how to graph this, or any further explanation?


Here are 5 related questions you might be interested in:

  1. How do you find the slope of a line from an equation?
  2. What is the slope-intercept form of a line and how is it derived?
  3. How do you find the x- and y-intercepts of a linear equation?
  4. How can you determine whether two lines are parallel or perpendicular?
  5. How do you solve a system of linear equations?

Tip: When converting to slope-intercept form, always rearrange the equation so that yy 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