Answer: Y = 3/4x + 3
Explanation:
If two lines are perpendicular, then the product of the two slopes should be -1.
First change 4x + 3y = 7 to Slope intercept form
(4x - 4x) + 3y = 7 - 4x
3y/3 = 7/3 - 4/3x
Y = -4/3x + 7/3 ( -4/3 is the slope)
Then find the slope of line n
-4/3 x S = -1
(-3/4 x -4/3) x S = -1 x -3/4
S = 3/4
Slope of line n is 3/4
Next find the Y-intercept of line n
Since line n contains (2,3) we can use 3 as the y-intercept of line n
Hence, the equation of line n is Y = 3/4x + 3