Use point-slope form to write the equation of a line that passes through the point \( (-4,-20) \) with slope \( -\frac{3}{4} \).

To write the equation of a line in point-slope form, we use the formula: \[ y - y_1 = m(x - x_1) \] where \( (x_1, y_1) \) is a point on the line and \( m \) is the slope. Given the point \( (-4, -20) \) and the slope \( m = -\frac{3}{4} \), we can substitute these values into the formula: - \( x_1 = -4 \) - \( y_1 = -20 \) - \( m = -\frac{3}{4} \) Substituting these values into the point-slope form gives: \[ y - (-20) = -\frac{3}{4}(x - (-4)) \] This simplifies to: \[ y + 20 = -\frac{3}{4}(x + 4) \] Thus, the equation of the line in point-slope form is: \[ y + 20 = -\frac{3}{4}(x + 4) \]