What is the equation, in slope-intercept form, of the line that is perpendicular to the line
y – 4 = –(x – 6) and passes through the point (−2, −2)?

y = –x –
y = –x +
y = x – 1
y = x + 1

the equation of the line is equal to

Step-by-step explanation:

Step 1

Find the slope of the line that is perpendicular to the given line

we know that

If two lines are perpendicular

then

the product of their slopes is equal to minus one

so

we have the given line

this is the equation of the line into point-slope form

the slope is equal to

Find m2

The slope of the line perpendicular to the given line is equal to

Step 2

Find the equation of the line in slope-intercept form

we know that

the  equation of the line in slope-intercept form is equal to

where

m is the slope

b is the y-intercept

in this problem we have

point

substitute and find the value of b

the equation of the line is equal to

( - 4 , -7 )

all the lines must parallel  

step-by-step explanation:

coordinates of c = ( - 1 , 2 )

3 units left = ( -4 , 2 )

9 units down = ( - 4 , 11 )