Write an equation for the line described. Give the answer in standard form. through \( (1,4), \mathrm{m}=-4 \) The equation of the line is (Type your answer in standard form.)

To find the equation of the line in standard form, we start with the point-slope formula: \( y - y_1 = m(x - x_1) \). Substituting in the point \( (1,4) \) and the slope \( m = -4 \), we have: \[ y - 4 = -4(x - 1) \] Expanding this gives: \[ y - 4 = -4x + 4 \] Adding 4 to both sides leads to: \[ y = -4x + 8 \] To convert this into standard form \( Ax + By = C \), we rearrange it: \[ 4x + y = 8 \] So, the equation of the line in standard form is: \[ 4x + y = 8 \]