Math Problem Statement

Is y = x +3

Solution

The equation y=x+3y = x + 3 represents a straight line in the form of y=mx+by = mx + b, where:

  • mm is the slope of the line, which in this case is 11 (since there is no coefficient in front of xx, it's assumed to be 11).
  • bb is the y-intercept, which is 33 (the constant term).

This means the line crosses the y-axis at (0,3)(0, 3), and for every increase of 11 unit in xx, yy increases by 11 unit.

Would you like more details about how to graph this equation or how it behaves?

Here are 5 related questions to expand your understanding:

  1. How do you find the slope of a line from an equation?
  2. What is the significance of the y-intercept in a linear equation?
  3. How do you determine if two lines are parallel?
  4. What is the general form of a linear equation?
  5. How can you find the x-intercept of this line?

Tip: When graphing a linear equation, you only need two points to draw the line. The y-intercept is usually one of the easiest points to start with.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Graphing
Slope-Intercept Form

Formulas

y = mx + b

Theorems

Slope-Intercept Form

Suitable Grade Level

Grades 6-8