Math Problem Statement

Show me a picture of y=x+5 on a graph

Solution

Here is the graph of the equation y=x+5y = x + 5. The line has a slope of 1 and intersects the y-axis at (0,5)(0, 5). Let me know if you would like any further details or explanations.

Here are 5 related questions to expand your understanding:

  1. What happens to the graph if the slope changes to 2?
  2. How would the graph look if the equation were y=x3y = x - 3?
  3. What is the significance of the y-intercept in a linear equation?
  4. How do you find the x-intercept of the equation y=x+5y = x + 5?
  5. How would you graph y=x+5y = -x + 5 on the same coordinate plane?

Tip: In linear equations, the coefficient of xx represents the slope, determining how steep the line is.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Coordinate Geometry

Formulas

y = mx + b

Theorems

Slope-Intercept Form Theorem

Suitable Grade Level

Grades 6-8