https://file.aiquickdraw.com/mathbot/file/17258981022178rl2kzo0.jpg

The equation provided is \( y = -3x + 3 \), and we need to complete the table for \( x = 2 \) by solving for \( y \).

Given \( x = 2 \), substitute into the equation:

\[
y = -3(2) + 3
\]
\[
y = -6 + 3
\]
\[
y = -3
\]

Thus, when \( x = 2 \), \( y = -3 \). The corresponding ordered pair is \( (2, -3) \).

Would you like to go over more details or ask any questions? 

Here are five related questions to expand on this concept:

1. What would the value of \( y \) be if \( x = -1 \) in the equation \( y = -3x + 3 \)?
2. Can you describe how to graph this linear equation using its slope and y-intercept?
3. How does changing the slope in the equation affect the steepness of the line?
4. What does the y-intercept of \( y = -3x + 3 \) represent on the graph?
5. How would you verify the points by graphing the equation?

**Tip:** When graphing a linear equation, always start by plotting the y-intercept and then use the slope to find other points.

Complete the tables, and graph the corresponding ordered pairs for the equation y = -3x + 3, given x = 2.

Learn how to solve the linear equation y = -3x + 3 for x = 2, and graph the corresponding ordered pairs. This problem focuses on linear equations in slope-intercept form and understanding the relationship between x and y values in coordinate geometry. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation