Answer:
y = (3/4)x - 7/4
Explanation:
y – y1 = m (x – x1), where y1 and x1 are the coordinates of a given point.
4x + 3y = 15
3y = -4x + 15
y = -(4/3)x + 5.
the slope of this line is -4/3.
the slope of the perpendicular line is -1 / (-4/3) = +3/4.
equation of perpendicular line through (5, 2) is:
y - 2 = (3/4) (x -5) = (3/4)x - (15/4)
y = (3/4)x - (15/4) + 2
y = (3/4)x - 7/4