n the equation y=−2/3 x+2, the slope is −2/3​ and the y-intercept is 2.  

*

1 point

TRUE

FALSE

The statement is **TRUE**.

In the equation \( y = -\frac{2}{3}x + 2 \), the slope-intercept form of a line is used, which is given by:

\[
y = mx + b
\]

where \( m \) is the slope and \( b \) is the y-intercept. In this equation:

- The slope \( m \) is \( -\frac{2}{3} \).
- The y-intercept \( b \) is \( 2 \).

Since both the slope and y-intercept are correctly identified, the statement is **true**.

Would you like more details or have any further questions? Here are 5 related questions to deepen your understanding:

1. How do you find the slope of a line from two points?
2. How do you convert a linear equation from standard form to slope-intercept form?
3. What does the slope of a line tell you about the direction of the line?
4. How do you graph a line given its slope and y-intercept?
5. What happens to the graph of a line if the y-intercept is negative?

**Tip**: In the slope-intercept form \( y = mx + b \), the value of \( m \) determines how steep the line is, and \( b \) tells you where the line crosses the y-axis.

In the equation y = −2/3 x + 2, the slope is −2/3​ and the y-intercept is 2. TRUE or FALSE?

Understand how to find the slope and y-intercept in the linear equation y = −2/3 x + 2. This explanation covers key algebraic concepts such as slope-intercept form (y = mx + b) and is ideal 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