Math Problem Statement

Draw the line y=2x+5

Solution

Here is the graph of the line y=2x+5y = 2x + 5. The line has a slope of 2 and a y-intercept of 5, meaning it crosses the y-axis at (0,5)(0, 5).

Do you have any questions or need more details?

Here are 5 related questions to further explore the concept:

  1. How do you determine the slope of a line from its equation?
  2. What does the y-intercept represent in a linear equation?
  3. How can you find the x-intercept of the line y=2x+5y = 2x + 5?
  4. What would happen if the slope of the line was negative, e.g., y=2x+5y = -2x + 5?
  5. How do parallel lines compare in terms of their slopes?

Tip: The slope-intercept form of a line is y=mx+by = mx + b, where mm is the slope and bb is the y-intercept.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Graphing

Formulas

Slope-intercept form: y = mx + b

Theorems

Properties of linear equations
Slope-intercept form

Suitable Grade Level

Grades 6-8