Find the equation of line having slope -3 and 2 unit intercept on y axis

Answer

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

\[ y = mx + c \]

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

### Step-by-Step Solution:

1. **Identify the slope and y-intercept**:
- Given slope \( m = -3 \)
- Given y-intercept \( c = 2 \)

2. **Substitute the values into the slope-intercept equation**:
- Using the equation \( y = mx + c \), we substitute \( m \) and \( c \):
\[ y = -3x + 2 \]

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

### Final Answer:
The equation of the line is \( y = -3x + 2 \).