Math Problem Statement

y=3+2x

Solution

The equation you've provided is y=3+2xy = 3 + 2x. This is a linear equation in slope-intercept form, which is generally written as y=mx+by = mx + b, where:

  • mm is the slope of the line.
  • bb is the y-intercept, the value of yy when x=0x = 0.

For the equation y=3+2xy = 3 + 2x:

  • The slope mm is 22, meaning for every unit increase in xx, yy increases by 2 units.
  • The y-intercept bb is 33, meaning the line crosses the y-axis at the point (0,3)(0, 3).

Would you like more details or have any questions?

Here are 5 related questions to expand on this topic:

  1. How would you graph the equation y=3+2xy = 3 + 2x?
  2. What is the significance of the slope in a linear equation?
  3. How do you find the x-intercept of the equation y=3+2xy = 3 + 2x?
  4. Can you rewrite the equation y=3+2xy = 3 + 2x in standard form?
  5. What happens to the graph if you change the slope to a negative value?

Tip: Understanding how to interpret the slope and intercept in a linear equation is key to analyzing the behavior of linear functions.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Slope
Y-intercept

Formulas

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Theorems

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Suitable Grade Level

Grades 7-9