Math Problem Statement

y=2x+40

Solution

The equation you've provided is:

y=2x+40y = 2x + 40

This is a linear equation in slope-intercept form, where:

  • The slope m=2m = 2
  • The y-intercept b=40b = 40

This means that for every unit increase in xx, yy increases by 2, and when x=0x = 0, y=40y = 40 (the point where the line crosses the y-axis).

Would you like help with graphing this equation, solving for specific values of xx or yy, or any other aspect of it? Feel free to ask!


Here are some related questions for further exploration:

  1. What would the equation of the line be if the slope was -2?
  2. How can we find the x-intercept of this equation?
  3. How does changing the slope affect the steepness of the line?
  4. What is the meaning of the y-intercept in real-life terms?
  5. How do you solve for xx when y=50y = 50?

Tip: Always remember that the slope mm indicates the direction and steepness of the line, and the y-intercept bb is where the line crosses the y-axis!

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Slope-Intercept Form

Formulas

y = mx + b

Theorems

Slope-Intercept Theorem

Suitable Grade Level

Grades 6-8