Line t has an equation of y= 4/3 x–2. Line u is perpendicular to line t and passes through ( – 2,2). What is the equation of line u?

Question

Line 

t

 has an equation of 

y

=

4

3

x

–

2

.

 Line 

u

 is perpendicular to line 

t

 and passes through 

(

–

2

,

2

)

.

 What is the equation of line 

u

?

Answer 1

if you meant y=(4/3)x -2

then a perpendicular line has slope = -3/4, the negative inverse

through the point (-2,2), the equation is

y-2 = (-3/4)(x+2) in point slope form

or

y = -3x/4 +1/2 in slope intercept form

or

3x+4y = 2 in standard form