A line has a slope of -3 and passes through the point \( (4,-15) \). Write its equation in slope- intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form.

The slope-intercept form of a line is given by: \[ y = mx + b \] where \( m \) is the slope and \( b \) is the y-intercept. Given: - Slope (\( m \)) = -3 - The line passes through the point \( (4, -15) \). First, substitute the slope and the coordinates of the point into the equation to solve for \( b \): \[ -15 = (-3)(4) + b \] \[ -15 = -12 + b \] \[ b = -15 + 12 \] \[ b = -3 \] So, the equation of the line in slope-intercept form is: \[ y = -3x - 3 \] **Answer:** \( y = -3x - 3 \)