Math Problem Statement

Draw the graph of the line. f(x) = x + 5

Solution

Here is the graph of the linear function f(x)=x+5f(x) = x + 5, with a slope of 1 and a y-intercept at (0, 5).

Would you like any further details or explanations?

Here are five related questions to expand your understanding:

  1. How does changing the slope affect the appearance of the graph?
  2. What happens to the graph if we change the y-intercept in f(x)=x+5f(x) = x + 5?
  3. How would the graph look if the equation were f(x)=x+5f(x) = -x + 5?
  4. Can you find the x-intercept of this line?
  5. What would the equation look like for a line parallel to this one but passing through a different point?

Tip: The slope determines how steep the line is, while the y-intercept tells where the line crosses the y-axis.

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Math Problem Analysis

Mathematical Concepts

Linear Functions
Graphing
Slopes
Y-Intercepts

Formulas

Slope-intercept form: y = mx + b

Theorems

Slope of a line theorem
Y-intercept definition

Suitable Grade Level

Grades 6-8