- anonymous

Audrey is trying to find the equation of a line parallel to y = 2 over 3x −5 in slope-intercept form that passes through the point (−6, −1). Which of the following equations will she use?
y − (−6) = 2 over 3(x − (−1))
y − (−1) = 2 over 3(x − (−6))
y − (−6) = 3 over 2(x − (−1))
y − (−1) = 3 over 2(x − (−6))

- schrodinger

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- anonymous

- Nnesha

y = 2 over 3x −5 what is the slope of this line ?
what do you know about parallel lines ?

- anonymous

i know that parallel lines are two lines that lie within the same plane and never intersect and im not sure the slope would be

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## More answers

- Nnesha

y = mx+ b is a slope intercept form
where m is slope and b is y-intercept
so what is m in this equation ??\[\huge\rm y =\frac{ 2}{ 3}x −5\]

- anonymous

m= 2/3 and b= -5 right (:

- Nnesha

yes right so parallel lines should have same slope
so equation of new line should be the same :-)

- Nnesha

and then point slope formula \[\huge\rm y-y_1 = m(x-x_1)\]
where m is slope
plug in (x_1 ,y_1) by order pair

- anonymous

ok so 2/3 would be y1 i think and then -8 would be M is that right ?

- anonymous

@Nnesha are you there?

- Nnesha

2/3 is slope

- Nnesha

how did you get -8
given order pair is (-6,-1) first number is x_1 and 2nd one is y_1

- anonymous

oh ok sorry nnesha would it be ok if you explain it alittle better sorry im still learning about this stuff

- Nnesha

alright so your answer choices are in point slope form which is \[\huge\rm y-y_1=m(x-x_1)\] where m is slope and \[(x_1,y_1)\] is the given order pair
so just substitute values into the formula
m is slope like i said parallel lines should have the same slope :-)

- Nnesha

if slope of first line is 2/3 slope of 2nd line is also 2/3

- anonymous

ohhhh ok i understand now so should the equation look like this then |dw:1434490463370:dw|

- Nnesha

hmm well in order pair (x,y) first number is x and 2nd one is y so
-6 is x or -1 ?

- anonymous

-1 i think

- Nnesha

i just said
x comes first and then y like (x,y) like this

- anonymous

sorrry sorry i meant x really sorry

- Nnesha

(-6,-1)
^x ^y

- Nnesha

|dw:1434490938070:dw|

- Nnesha

substitute x and y values :-)

- Nnesha

hey u got it ?

- anonymous

no not yet sorry my parent had made me go clean the kitchen

- Nnesha

alright let me know whn u r ready :-)

- anonymous

|dw:1434495362798:dw|
@Nnesha sorry for the long wait (:

- Nnesha

that's right

- Nnesha

it's okay better than never

- anonymous

(: thank you for your help

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