Math Problem Statement

complete the table of values for the equation y=x+5. then choose a suitable scale and draw the graph.

Solution

To complete the table of values for the equation y=x+5y = x + 5, we select a range of xx-values and compute the corresponding yy-values. Here's the completed table for a few values:

xxy=x+5y = x + 5
-32
-23
-14
05
16
27
38

Graphing the Equation

  1. Choose a Scale: Since the values of yy range from 2 to 8 and xx from -3 to 3, a suitable scale might be 1 unit per square for both xx and yy.

  2. Plot Points: Using the table, plot each point (e.g., (-3, 2), (-2, 3), ..., (3, 8)) on a coordinate plane.

  3. Draw the Line: Connect the points with a straight line, as the equation y=x+5y = x + 5 represents a linear function.

  4. Label the Graph: Clearly label the axes and mark the equation on the graph.

If you'd like, I can provide a digital graph of this equation. Let me know if you want details on the graphing process or have any questions!

Related Questions

  1. What is the slope of the line y=x+5y = x + 5?
  2. How would the graph change if the equation was y=2x+5y = 2x + 5?
  3. What is the yy-intercept of the equation y=x+5y = x + 5?
  4. How can you determine if a point is on the line y=x+5y = x + 5?
  5. What is the inverse function of y=x+5y = x + 5?

Tip: For any linear equation y=mx+by = mx + b, mm represents the slope and bb the yy-intercept, making it easy to graph directly.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Graphing
Coordinate Geometry

Formulas

y = x + 5

Theorems

Linear Equation Graphing Theorem
Slope-Intercept Form

Suitable Grade Level

Grades 6-8