https://file.aiquickdraw.com/mathbot/file/1726412088290696quryl.jpg

The question asks to "write down the equation of another line that is parallel to the line \( y = 3x - 2 \)."

### Solution:
For two lines to be parallel, they must have the same slope. The equation of the given line is in slope-intercept form \( y = mx + c \), where \( m \) is the slope and \( c \) is the y-intercept.

In the equation \( y = 3x - 2 \), the slope \( m \) is 3.

A parallel line will also have a slope of 3, but its y-intercept can be different. The general form of a line parallel to this one would be:
\[
y = 3x + b
\]
Where \( b \) can be any constant. For example, one possible answer could be:
\[
y = 3x + 5
\]
or any other value for \( b \).

Would you like further explanation or have any specific questions?

Here are 5 related questions you can explore:
1. What is the equation of a line perpendicular to \( y = 3x - 2 \)?
2. How do you find the slope of a line given two points?
3. What does the slope of a line represent geometrically?
4. How do you convert a line equation from standard form to slope-intercept form?
5. What is the relationship between parallel and perpendicular slopes?

**Tip:** For parallel lines, always remember that the slopes must be equal, but the intercepts can vary.

Write down the equation of another line that is parallel to the line y = 3x - 2.

Learn how to find the equation of a line parallel to y = 3x - 2 by understanding the slope-intercept form and the Parallel Line Theorem. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation