Choose the equation of the line passing through the point (-4, -2) and perpendicular to y = -x + 6.

y = -x + 6

y = x - 6

y = -x - 2

y = x + 2

Question

Choose the equation of the line passing through the point (-4, -2) and perpendicular to y = -x + 6.

 y = -x + 6

 y = x - 6

 y = -x - 2

 y = x + 2

anonymous · Answer

@mulline ? @MATTW20  "?

hartnn · Answer

can you find slope of y = -x + 6. ?

hartnn · Answer

compare with y=mx+c
slope =m

anonymous · Answer

-x right?

hartnn · Answer

slope is a number, the co-efficient of x.

hartnn · Answer

like for 10x, the slope will be 10

hartnn · Answer

so, for -x , slope =...?

anonymous · Answer

-1?

hartnn · Answer

yes, now you know what will be the slope of perpendicular line ?

anonymous · Answer

no...?

hartnn · Answer

the slope of perpendicular line is negative reciprocal( inverse.)
like if the slope is 4, the slope of perpendicular line is -1/4

hartnn · Answer

what if the slope of line is -1 ?

anonymous · Answer

Oh! So, it is 1?

hartnn · Answer

yes, correct.
now you have slope = m = 1
and point (x1,y1) = (-4,-2)
can you find the equation?

hartnn · Answer

y-y1 = m (x-x1)

anonymous · Answer

the inverse of that equation?

hartnn · Answer

no, plug in m=1
x1 =-4, y1 =-2 in 
y-y1= m (x-x1)

hartnn · Answer

that is point slope form of equation of line

anonymous · Answer

I get it now. Thanks again. ^_^

hartnn · Answer

welcome ^_^
you can post what you got if you want me to verify it :)