Is (–37, –71) a solution to the equation y = x − 29?

To determine if \((-37, -71)\) is a solution to the equation \(y = x - 29\), we substitute the values of \(x = -37\) and \(y = -71\) into the equation.

The equation is:
\[
y = x - 29
\]

Substitute \(x = -37\):
\[
y = -37 - 29 = -66
\]

Since \(y = -66\) but the point gives \(y = -71\), \((-37, -71)\) is **not** a solution to the equation \(y = x - 29\).

Would you like more details or have any questions?

Here are 5 related questions:
1. What is the slope of the equation \(y = x - 29\)?
2. How do you verify if a point is a solution to a given equation?
3. Can you graph the equation \(y = x - 29\) and verify points visually?
4. How do you find other solutions to \(y = x - 29\)?
5. What happens if you change the equation to \(y = x - 29 + c\)?

**Tip:** When checking if a point is a solution to an equation, always substitute the values for both variables into the equation and verify if the equality holds.

Check if the point (–37, –71) is a solution to the linear equation y = x − 29 by substituting the values of x and y. Understand the substitution method and verify if the equation holds. Suitable for students in Grades 6-8 studying linear equations.

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