Question

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))

Answer 1

@Nnesha

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

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

Answer 8

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

Answer 9

@Nnesha are you there?

Answer 10

2/3 is slope

Answer 11

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

Answer 12

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

Answer 13

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 :-)

Answer 14

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

Answer 15

ohhhh ok i understand now so should the equation look like this then