Math Problem Statement

y=2x+4

Solution

The equation y=2x+4y = 2x + 4 represents a straight line in slope-intercept form, where:

  • The slope mm is 22.
  • The y-intercept bb is 44.

This means the line crosses the y-axis at (0,4)(0, 4) and rises 2 units for every 1 unit it moves to the right.

Would you like more details or have any questions?

Here are five related questions:

  1. How do you find the x-intercept of this line?
  2. What is the equation of a line parallel to y=2x+4y = 2x + 4?
  3. How would you graph this line?
  4. What is the equation of a line perpendicular to y=2x+4y = 2x + 4?
  5. How does the slope of this line compare to a line with the equation y=12x+3y = -\frac{1}{2}x + 3?

Tip: The slope determines how steep a line is; positive slopes rise, and negative slopes fall as you move from left to right on a graph.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Slope-Intercept Form

Formulas

Slope-Intercept Form: y = mx + b

Theorems

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Suitable Grade Level

Grades 7-9