Answer:
4x + 3y = 1
Explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given the line
3x - 4y = 5 ( subtract 3x from both sides )
- 4y = - 3x + 5 ( divide through by - 4 )
y =
x -
← in slope- intercept form
with slope m =

given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= -
, then
y = -
x + c ← is the partial equation of the perpendicular line
to find c substitute P (1, - 1 ) into the partial equation
- 1 = -
(1) + c = -
+ c ( add
to both sides )
= c
y = -
x +
← in slope- intercept form
multiply through by 3 to clear the fractions
3y = - 4x + 1 ( add 4x to both sides )
4x + 3y = 1 ← equation of perpendicular line in standard form