Question

Find the equation of the line that contains the given point and is perpendicular to the given point and is perpendicular to the given line. Write the equation in slope-intercept form, if possible.

(1,-1); y=-x+3
What is the equation of the line?

Answer 1

when 2 lines r perpendicular to each other
if the slope of one lie is "m"
then the slope of the other is "(-1/m)"

so...
in
y= -x + 3... the slope is -1
which means a line perpendicular to that will have the slope (+1)

so...
u can write the equation as
y= x + b
where
b = intercept

now to find intercept u can use ( 1 , -1)
if u plug them in to the equation
-1 = 1 + b
b = -2

so ..
the equation of the line is
y= x - 2

hope this will help ya:)