Math Problem Statement

sole y=2x+3

Solution

To solve for yy given the equation y=2x+3y = 2x + 3, it is already expressed in slope-intercept form y=mx+by = mx + b, where:

  • m=2m = 2 (the slope),
  • b=3b = 3 (the y-intercept).

This means that for any value of xx, you can calculate yy by multiplying xx by 2 and then adding 3. Would you like to solve for a specific value of xx or plot the line?

Would you like more details or have any questions?

Here are 5 related questions to explore further:

  1. How would you find the x-intercept of the line y=2x+3y = 2x + 3?
  2. What is the slope of the line y=2x+3y = 2x + 3 and what does it represent?
  3. How would you graph the equation y=2x+3y = 2x + 3?
  4. What happens to the line if the slope mm changes to another value?
  5. Can you rewrite this equation in standard form?

Tip: The slope mm tells you how steep the line is; in this case, for every 1 unit increase in xx, yy increases by 2 units.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Slope-Intercept Form

Formulas

y = mx + b (Slope-Intercept Form)

Theorems

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Suitable Grade Level

Grades 6-8