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

Question

jigglypuff314 · Answer

first what is the slope of the line   y = -x + 6?

anonymous · Answer

6?

jigglypuff314 · Answer

close :) 6 would be the y-intercept
y = mx + b
where m=slope
so what is the slope of  y = -x+6

anonymous · Answer

-1 since there is an imaginary 1 before x?

jigglypuff314 · Answer

correct :)

then know that the slope of a line perpendicular to that one would be
the flipped opposite of it

for example the flipped opposite of  -1/4   is   4

anonymous · Answer

so it would just be y=x+6?

jigglypuff314 · Answer

not quite :)
y = 1x + b
temporarily plug in the point (-4, -2)
so  -2 = -4 + b    solve for b

anonymous · Answer

b=-2

jigglypuff314 · Answer

yes :)
so for   y = mx + b
you now have m=1  and b=-2

anonymous · Answer

so now i solve tht?

jigglypuff314 · Answer

mmm now you would just plug in :)

anonymous · Answer

-2=1x+(-2) right?

jigglypuff314 · Answer

y=x -2

anonymous · Answer

oooo thanks :)