Solving Linear Equation x - y = -7 and Completing the Table

Math Problem Statement

Complete the table for the equation x - y = -7, and graph the equation.

The task is to complete the table for the equation $x - y = -7$ . Here's how we can solve it step by step:

$x - y = -7$ This can be rewritten as: $y = x + 7$ Now, let's complete the table based on this equation:

So, the missing value for $x = 1$ is $y = 8$ .

Thus, the completed table should be:

\hline x & y \\ \hline 0 & 7 \\ -7 & 0 \\ 2 & 9 \\ 1 & 8 \\ \hline \end{array}$$ Would you like further details on how to graph this or any other questions? ### 5 Follow-Up Questions: 1. What is the general form of a linear equation? 2. How do you find the slope of a line from an equation? 3. Can you explain how to graph linear equations using points? 4. What is the significance of the slope and intercept in a line equation? 5. How do you check if a point lies on a given line? ### Tip: When graphing linear equations, always try to find the intercepts first (where the line crosses the axes), as these points can make graphing quicker and more accurate.

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Linear Equations
Algebra

x - y = -7
y = x + 7

Grades 6-8

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