Find the equations of the lines , whose :
slope =- 4 and y- intercepts = 2

Answer

To find the equation of the line with a given slope and y-intercept, we can use the slope-intercept form of the equation of a line, which is given by:

\[ y = mx + c \]

Where:
- \( m \) is the slope of the line,
- \( c \) is the y-intercept.

### Step-by-Step Solution:

1. **Identify the given values**:
- Slope \( m = -4 \)
- Y-intercept \( c = 2 \)

2. **Substitute the values into the slope-intercept form**:
\[ y = mx + c \]
Substituting the values of \( m \) and \( c \):
\[ y = -4x + 2 \]

3. **Write the final equation**:
The equation of the line is:
\[ y = -4x + 2 \]

4. **Optional: Rearranging the equation**:
If we want to rearrange it into standard form, we can do so:
\[ y + 4x = 2 \]

### Final Answer:
The equation of the line is:
\[ y = -4x + 2 \quad \text{or} \quad y + 4x = 2 \]