Ask your own question, for FREE!
Mathematics 15 Online
OpenStudy (thatgirl21):

Please help! Don't understand how to do these and have a midterm coming up :( Will give medal and fan for explanations. TIA given the line with equation y=2x+9, find a.) the line parallel to the given line that passes through (7, -1) b.) a line perpendicular to the given line that passes through (8, 5) c.) the point of intersection for the lines with the equation: 3x-5y=13 and 7x+2y=3

OpenStudy (loser66):

For a) Question: what is the slope of the given line?

OpenStudy (thatgirl21):

2?

OpenStudy (loser66):

yup, so the slope of the required line, ( which is parallel to the given line), is 2 also, right?

OpenStudy (thatgirl21):

yes!

OpenStudy (loser66):

so, with slope m =2, point (7,-1) , you can write the equation of it, right? (y = mx +b)

OpenStudy (thatgirl21):

so would it just be like y=2x-1? I feel like I'm completely wrong

OpenStudy (loser66):

nope!! y = mx + b you need b, so - mx both sides b = y - mx replace y = -1, m =2, x =7, you have b = -1-2(7) = -15 replace back y = mx + b, you have y = 2x -15 is the required line.

OpenStudy (thatgirl21):

Ohh okay that makes sense!

OpenStudy (loser66):

For b) the required line is perpendicular to the given line, hence, its slope = \(-\dfrac{1}{2}\) Do the same with part a) to get the answer.

OpenStudy (thatgirl21):

Okay. So it would be y=-1/2x+9?

OpenStudy (loser66):

yup

OpenStudy (loser66):

for c) just solve the system by elimination or substitution.

OpenStudy (loser66):

|dw:1476841246223:dw|

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Latest Questions
MakaylaChuck23: Help wats this
5 hours ago 2 Replies 0 Medals
MakaylaChuck23: uh oh
7 hours ago 1 Reply 0 Medals
Treeko: Pics I took w my friend !
9 hours ago 6 Replies 2 Medals
Aliciaa: Is anyone elses QC going wack? Mine keeps freezing and stuff
7 hours ago 26 Replies 1 Medal
autumnp: does anyone have bandlab?
9 hours ago 4 Replies 0 Medals
Jeromeccv: Art for @vanessad123
7 hours ago 49 Replies 4 Medals
ohhhhhhhhhhhhhh: how do i slim my waist fast
10 hours ago 4 Replies 1 Medal
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!