for equation y=-3x+2 calculate the slope and y intercept

The given equation is:

\[
y = -3x + 2
\]

This is a linear equation in the slope-intercept form, which is:

\[
y = mx + b
\]

where:
- \(m\) is the slope of the line.
- \(b\) is the y-intercept, the point where the line crosses the y-axis.

### 1. Slope
In the equation \(y = -3x + 2\), the coefficient of \(x\) is \(-3\). Therefore, the **slope** (\(m\)) is:

\[
\text{slope} = m = -3
\]

### 2. Y-Intercept
The y-intercept (\(b\)) is the constant term in the equation. In this case, it is \(2\). Therefore, the **y-intercept** is:

\[
\text{y-intercept} = b = 2
\]

### Summary
- **Slope** (\(m\)): \(-3\)
- **Y-Intercept** (\(b\)): \(2\)

Would you like more details or have any questions?

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Here are some related questions you might find interesting:

1. How do you find the slope of a line given two points?
2. What does a negative slope indicate about the direction of a line?
3. How do you convert a linear equation from standard form to slope-intercept form?
4. What is the significance of the y-intercept in a real-world scenario?
5. How can you determine if two lines are parallel or perpendicular using their slopes?

**Tip:** In the slope-intercept form, the slope indicates the steepness and direction of the line, while the y-intercept shows where the line crosses the y-axis.

Learn how to calculate the slope and y-intercept of the linear equation y=-3x+2 with a detailed explanation and example. This problem covers key concepts in linear equations, including slope and y-intercept. Suitable for students in Grades 7-9.

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