https://file.aiquickdraw.com/mathbot/file/1727215153322ivh1lyzk.jpg

To graph the equation \( y = -\frac{3}{2}x - 1 \), follow these steps:

### 1. Identify the slope and y-intercept:
- The equation is in slope-intercept form \( y = mx + b \), where:
  - \( m = -\frac{3}{2} \) (slope)
  - \( b = -1 \) (y-intercept)

### 2. Plot the y-intercept:
- Start by plotting the point \( (0, -1) \) on the y-axis.

### 3. Use the slope to find another point:
- The slope \( -\frac{3}{2} \) means "rise over run" = \( -3 \) units down and \( 2 \) units to the right.
- From the point \( (0, -1) \), move 3 units down and 2 units right to get the next point at \( (2, -4) \).

### 4. Draw the line:
- Connect the points \( (0, -1) \) and \( (2, -4) \) with a straight line, and extend the line in both directions.

If you would like, I can generate the graph for you. Would you like the graph or further details?

---

**Relative Questions:**
1. What does the slope represent in a linear equation?
2. How would you find the x-intercept of this line?
3. What happens to the graph if you change the slope to a positive value?
4. How does changing the y-intercept affect the graph?
5. Can you explain how to graph lines when given the point-slope form?

**Tip:** Always check the sign of the slope to determine if the line rises or falls. A negative slope means the line falls from left to right.

Learn how to graph the linear equation y = -3/2x - 1 step-by-step. This problem covers graphing techniques, including identifying the slope and y-intercept, plotting points, and drawing the line. Suitable for Grades 7-9 students studying linear equations.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation