Question

Graph the line for y−6=−4(x+2)
on the coordinate plane.

tell me where to mark is answer the question please in BOLD WORDS

Answer 1

shoudl I palce it one the Y axis or the X axis

Answer 2

To graph the line given by the equation \( y - 6 = -4(x + 2) \), we first need to rewrite it in the slope-intercept form, \( y = mx + b \).

1. **Start with the original equation**:
\[
y - 6 = -4(x + 2)
\]

2. **Distribute -4**:
\[
y - 6 = -4x - 8
\]

3. **Add 6 to both sides**:
\[
y = -4x - 2
\]

Now we have the slope-intercept form \( y = -4x - 2 \), where the slope \( m = -4 \) and the y-intercept \( b = -2 \).

### Key Points to Plot:

1. **Y-Intercept**: The line crosses the y-axis at \( (0, -2) \).
- **MARK THIS POINT: (0, -2)** in **BOLD**.

2. **Using the Slope**: From the y-intercept, use the slope of -4 (which can be interpreted as -4/1).
- From \( (0, -2) \), move **DOWN 4 units** and **RIGHT 1 unit** to find the next point.
- This gives the point \( (1, -6) \).
- **MARK THIS POINT: (1, -6)** in **BOLD**.

### Additional Point:

If you want another point, you can move again:
- From \( (1, -6) \), move **DOWN 4 units** and **RIGHT 1 unit** to find \( (2, -10) \).
- **MARK THIS POINT: (2, -10)** in **BOLD**.

### Final Steps:

- Draw a line through the points \( (0, -2) \), \( (1, -6) \), and \( (2, -10) \).
- Ensure the line extends in both directions.

### Summary of Points to Mark:
- **(0, -2)**
- **(1, -6)**
- **(2, -10)**

Now you can see how to graph the line based on the information provided!

Answer 3

You should **PLACE THE Y-INTERCEPT (0, -2) ON THE Y AXIS** because it represents the point where the line crosses the y-axis.

### Summary:
- **Point (0, -2)** is on the **Y AXIS**.
- **Point (1, -6)** and **Point (2, -10)** will be on the **XY PLANE** but specifically you want to mark the y-intercept on the Y axis.

Make sure your graph shows the y-axis vertical and the x-axis horizontal. Place the point \( (0, -2) \) at the point where \( x = 0 \) and \( y = -2 \) on the y-axis.