Math Problem Statement

y=1/2x + 2

Solution

The equation you've provided is a linear equation in slope-intercept form, which is:

y=12x+2y = \frac{1}{2}x + 2

Here, the slope mm is 12\frac{1}{2}, and the y-intercept bb is 22. This means:

  • For every unit increase in xx, yy increases by 12\frac{1}{2}.
  • The graph of this equation will intersect the y-axis at the point (0,2)(0, 2).

If you have specific questions about this equation or need more information, feel free to ask!

Would you like help with graphing this equation, or do you have any other questions?


Here are 5 related questions you might explore:

  1. How can you find the x-intercept of this equation?
  2. What is the slope of a line parallel to this one?
  3. How do you convert this equation to standard form?
  4. What would happen if the slope were changed to -3?
  5. How do you determine the equation of a line through two points?

Tip: To graph linear equations, always plot the y-intercept first, then use the slope to find the next points!

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Slope-Intercept Form
Graphing

Formulas

y = mx + b

Theorems

Slope-intercept form theorem

Suitable Grade Level

Grades 7-9