Can someone help me get the answer and show how they got it?

- sbuck98

Can someone help me get the answer and show how they got it?

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- sbuck98

##### 3 Attachments

- sbuck98

@Nnesha do you know any of this stuff?

- sbuck98

@paki @Luigi0210 @lynzandriptide @isry98

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## More answers

- Nnesha

y=mx+b is slope intercept form where `m` is slope and `b` is y-intercept

- sbuck98

How'd you get it though?

- Nnesha

i didn't get anything it's the original equation for slope intercept form

- sbuck98

OH sorry! Could you help me solve ABCD for that problem? and explain how you got the answers

- Nnesha

y=mx+b is slope intercept
parallel lines should have the same slope
example if the slope of line `a` is 2 then slope of line `b` would be 2 as wll
slope of perpendicular lines are `negative reciprocal` if slope of line a is a/b then slope of `b` would be -b/a

- sbuck98

okay!

- Nnesha

so what's the slope of line J ??

- sbuck98

Y=-4+2x?

- Nnesha

just slope

- Nnesha

like i said y=mx+b m is slope which is always with x variable

- sbuck98

so 2?

- Nnesha

yes right

- Nnesha

now we need equation of the line that's parallel to y=2x+4
slope of new line would be what ?
parallel lines would have the same slope

- sbuck98

so it's the same?

- Nnesha

yes right

- sbuck98

SO that would be by anwser for A?

- Nnesha

yes what about B ?

- sbuck98

The same because anything that's parallell is the same

- Nnesha

yes right!

- sbuck98

OK:)))

- Nnesha

so part C) find the equation
m=2 we already know that
so y =mx+b use the order pair they gave u for x and y values and replace m with 2 to find b

- Nnesha

\[\huge\rm y=2x+b\] passes through (3,7)
so replace (x,y) with (3,7) and solve for b

- sbuck98

7+2*3+b?

- Nnesha

if you mean 7 `=` 2(3)+b then yes now solve for b

- sbuck98

1?

- Nnesha

yes right
so b=1 now you can replace b with one in the original equation

- sbuck98

7=2(3)+1

- Nnesha

well we need in slope intercept form so keep the x and y variables
y=2x+1

- sbuck98

thank you

- Nnesha

last part if the we need line that's perpendicular to line j
y=2x+4
like i said perpendicular slopes are negative reciprocal
so what would be the slope of line h ?

- Nnesha

i've to go will be back

- sbuck98

y=-4+2x

- sbuck98

ok how long?

- Nnesha

oh well got few mints

- sbuck98

oh good!

- Nnesha

alright here is ane example if slope of the first line is a/b then perpendicular slope would be `-b/a` <--flipped the fraction and changed the sign

- Nnesha

so what's the perpendicular slope for line h ?

- sbuck98

So I had it right?

- Nnesha

no

- sbuck98

-4+2x=y

- Nnesha

i said slope would negative reciprocal
but the slope of the equation u posted is the same like J=2x+4

- Nnesha

remember : parallel lines `same slope `
perpendicular slopes `negative reciprocal`

- sbuck98

ok

- Nnesha

what's the slope of line j ?

- sbuck98

-4+2x=j

- Nnesha

why are u keep posting that equation ?
j=2x `+` 4

- sbuck98

ok

- Nnesha

what's the `slope`( not the equation) of line J ?

- sbuck98

2

- Nnesha

yes right so slope of line h would be negative reciprocal of 2

- sbuck98

you prob think im stupid but are we on C or D?

- Nnesha

for which part they are asking `perpendicular ` equation ? :=)

- sbuck98

D:)

- Nnesha

yes so ofc D

- Nnesha

here is an example if slope of first equation is a/b then slope of perpendicular equation would be -b/a
so if the slope of line J is 2 then slope of line h would be what ?

- sbuck98

-2

- Nnesha

what's the reciprocal of 2 ?
it's same as 2/1

- sbuck98

1/2

- sbuck98

or 1

- Nnesha

no 1/2 is right so it would be -1/2

- sbuck98

ok

- Nnesha

now replace m with -1/2 and substitute (x,y) for given order to find b

- sbuck98

help

- Nnesha

what's the original equation of slope intercept ?

- Nnesha

for **

- sbuck98

j=2x=4

- sbuck98

+4

- Nnesha

you really like that equation
y=mx+ b is the original equation replace m with -1/2 and then (x,y) with the given point in part D

- sbuck98

-1/2+8+10

- Nnesha

hmm y=mx+b
y value should at left side

- Nnesha

just like u did for part C

- sbuck98

10=-1/2(8)

- Nnesha

yes right solve for b 10=-1/2(8)+b

- Nnesha

gtg

- sbuck98

ok

- sbuck98

b=21/2=10.500

- Nnesha

hmm no \[10=-\frac{ 1 }{ 2 }(8)+b\] you can divide 8/2

- Nnesha

it shouldn't be decimal

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