https://file.aiquickdraw.com/mathbot/file/1725947371447fs60yz87.jpg

To determine whether the point \( (7, 8) \) is a solution of the equation \( y = -3x + 1 \), we need to substitute the values \( x = 7 \) and \( y = 8 \) into the equation and check if it holds true.

Given the equation:

\[
y = -3x + 1
\]

Substitute \( x = 7 \) and \( y = 8 \) into the equation:

\[
8 = -3(7) + 1
\]

Now, calculate the right side:

\[
8 = -21 + 1
\]
\[
8 = -20
\]

Since \( 8 \neq -20 \), the equation does not hold. Therefore, the point \( (7, 8) \) is **not** a solution of the equation \( y = -3x + 1 \).

Would you like more details or have any questions? 

Here are 5 related questions you can explore:

1. How do you determine if a point is a solution to a linear equation?
2. What is the geometric meaning of checking if a point lies on the line represented by a given equation?
3. Can a point satisfy more than one linear equation at the same time?
4. How do you find the slope and intercept from the equation \( y = -3x + 1 \)?
5. What are the methods for graphically verifying if a point lies on a line?

**Tip**: Always check both the \(x\)-value and \(y\)-value by substituting them into the equation to verify if the point satisfies it.

Determine whether (7,8) is a solution of y = -3x + 1.

Learn how to determine whether the point (7,8) is a solution of the linear equation y = -3x + 1. This problem covers key algebraic concepts, including point-slope form and substitution methods, suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation