tell whether the lines for each pair of equations are parallel perpendicular, or neither.

y=-4x+3

-2x+8y=5

Question

tell whether the lines for each pair of equations are parallel perpendicular, or neither.

y=-4x+3

-2x+8y=5

anthonyym · Answer

I would put the second equation in slope intercept form y=mx+b first.

ccchristian1 · Answer

@ivettef365

anthonyym · Answer

In other words, solve -2x+8y=5 for y.

ccchristian1 · Answer

i got a

ccchristian1 · Answer

idk if im right or wrong

ivettef365 · Answer

find the slope of each equation

ivettef365 · Answer

to be parallel the slope have to be the same
to be perpendicular the slope have to be opposite reciprocal
otherwise is neither

ivettef365 · Answer

on the first equation you have y =  -4x + 3
so what is the slope ?

ccchristian1 · Answer

how would u get neither?

ccchristian1 · Answer

-4 is the slope

ivettef365 · Answer

if both equation have the same slope is parallel
if one equation have a slope that  is opposite reciprocal from the other is perpendicular and what I mean by opposite reciprocal if one have a slope of -4 and the other  1/4 that is opposite reciprocal

ivettef365 · Answer

if the slope is NOT the same and is NOT opposite reciprocal then is neither

ccchristian1 · Answer

so -4 and 4 wouldn't be opposite ?

ivettef365 · Answer

yes that would be just opposite

ccchristian1 · Answer

alright i get it now

ccchristian1 · Answer

i wish my teachers would explain it how u explain it

ivettef365 · Answer

but to be opposite reciprocal no only change from pos to neg or neg to opp also the number switch for example if you have 3/4 then opp rec  would be -4/3

ccchristian1 · Answer

ahh okay

ivettef365 · Answer

so now you have y - -4x +3  you know in the formula y = mx + b the number of the position of the m is the slope

ccchristian1 · Answer

so its b?

ivettef365 · Answer

the slope is the m
the b is the y-intercept

ccchristian1 · Answer

thats my answer rn

ivettef365 · Answer

it is perpendicular because the second equation is
-2x + 8y = 5
8y = 2x + 5

y = 1/4x + 5

ccchristian1 · Answer

alright so i was right thank u for explaining it to me

ivettef365 · Answer

the first slope is -4 and the second slope is 1/4 that is opposite and reciprocal

ivettef365 · Answer

you're welcome

ccchristian1 · Answer

1/4 and -1/4 would be perpendicular.. correct ?

ccchristian1 · Answer

@ivettef365

ivettef365 · Answer

yes

ccchristian1 · Answer

okay thank you

ivettef365 · Answer

no problem anytime :)