Math Problem Statement

Consider the equation y = x + 4. Fill in the blanks to complete the table of values.

Solution

The given equation is:

y=x+4y = x + 4

You are asked to fill in the blanks in the table by substituting each value of xx into this equation.

Let's go through each calculation:

  1. For x=1x = -1: y=1+4=3y = -1 + 4 = 3

  2. For x=0x = 0: y=0+4=4y = 0 + 4 = 4

  3. For x=1x = 1: y=1+4=5y = 1 + 4 = 5

  4. For x=2x = 2: y=2+4=6y = 2 + 4 = 6

The completed table should look like this:

\hline x & y \\ \hline -1 & 3 \\ 0 & 4 \\ 1 & 5 \\ 2 & 6 \\ \hline \end{array}$$ Would you like further details on these calculations, or do you have any questions? Here are some additional related questions for practice: 1. What would the table look like for $$y = x - 2$$? 2. How would the graph of $$y = x + 4$$ look if we plotted these points? 3. What is the slope of the line represented by $$y = x + 4$$? 4. If we added a constant to $$y = x + 4$$, how would the table change? 5. How can we determine if a point lies on the line $$y = x + 4$$? **Tip:** For linear equations like $$y = x + 4$$, each step increase in $$x$$ leads to an equal increase in $$y$$, making it easier to complete tables quickly.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Coordinate Plane

Formulas

y = x + 4

Theorems

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Suitable Grade Level

Grades 7-9