The equation of a line passing through a point (-3, -1) with a slope of 4 can be determined using the point-slope form of a linear equation:
1. Point-Slope Form: \( y - y_1 = m(x - x_1) \)
- \( m \) represents the slope
- \( (x_1, y_1) \) represents the coordinates of the point
Given:
- Point: (-3, -1)
- Slope: 4
2. Substitute the values into the point-slope form:
\( y - (-1) = 4(x - (-3)) \)
\( y + 1 = 4(x + 3) \)
3. Simplify the equation:
\( y + 1 = 4x + 12 \)
\( y = 4x + 11 \)
Therefore, the equation that represents the line passing through the point (-3, -1) with a slope of 4 is:
\[ y = 4x + 11 \]
Among the options provided, the correct equation is:
\[ y = 4x + 11 \]
