Answer:
The answer to your question is the letter C.
Step-by-step explanation:
Data
original line y = 4/3x + 1
Point = (4, 1)
perpendicular line = ?
Process
1.- Find the slope of the original line. The slope is the coefficient of the x.
y = 4/3x + 1
slope = 4/3
2.- Find the slope of the perpendicular line
slope = -3/4
3.- Find the equation of the new line
y - y1 = m(x - x1)
y - 1 = -3/4(x - 4)
y - 1 = -3/4x + 3/4(4)
y = -3/4xx + 3 + 1
y = -3/4x + 4
4.- Find the y-intercept
The y-intercept is the number after the x.
y = -3/4x + 4
y-coordinate = 4
