anonymous
  • anonymous
What is the equation of the line, in point slope form, that passes through the given point and has the given slope? point: (8,-8) and slope 3 a. y-8=3(x+8) b. y+8=3(x+8) c. y-8=3(x-8) d. y+8=3(x-8) What are the intercepts of the equation? 5x+3y=15 what is the equation of the line perpendicular to the line y= 4/9 x - 2 that passes through point (4,3) a. y= -4/9 x -2 b. y= 9/4 x + 6 c. y= -9/4 x + 12 d. y= -9/4 x - 12 i really need help, please help
Mathematics
katieb
  • katieb
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LynFran
  • LynFran
ok lets start with the first question
anonymous
  • anonymous
okay
LynFran
  • LynFran
we are given points (8,-8) and slope 3 to put in point slope form|dw:1441393907189:dw|

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anonymous
  • anonymous
so would i distribute ?
LynFran
  • LynFran
yes
LynFran
  • LynFran
only the negative sign
LynFran
  • LynFran
which option would we get?
anonymous
  • anonymous
hold on oneee second im almost done
anonymous
  • anonymous
wait so for y-(-8) how woould i distribute that, would it be just be -8y?
LynFran
  • LynFran
|dw:1441394211850:dw|
anonymous
  • anonymous
so it would be 8y= 3x - (-) 24?
LynFran
  • LynFran
no ... u just need to distbute the 2 negative signs here|dw:1441394401381:dw|
anonymous
  • anonymous
ohhhhhh okay
LynFran
  • LynFran
i this case to match the given options the 2 negatives will make positive when....
LynFran
  • LynFran
so 1st question answer??
anonymous
  • anonymous
its y+8 = 3 (x-8) so D
LynFran
  • LynFran
yes
anonymous
  • anonymous
thank you
anonymous
  • anonymous
what is the equation of the line perpendicular to the line y= 4/9 x - 2 that passes through point (4,3) Refer to the attachment from Mathematica.
1 Attachment
anonymous
  • anonymous
i dont understand that @robtobey
LynFran
  • LynFran
question 2 intercepts to find the x-intercept we let y=0 to find the y-intercept we let x=0 but first we solve the given equation.. 5x+3y=15 lets solve for y 3y=15-5x y=(-5x+15)/3 now find the x intercept.... 0=(-5x+15)/3
anonymous
  • anonymous
you took the 3 away from y to solve for it butbwhy did you put it into the equation to divide. dont we cancel something out?
LynFran
  • LynFran
since the 3 was being multiplied to y....3y ...to get the y term alone we divide by 3...and since its an equation...what we do to the left side we must do the same to the right side ...
anonymous
  • anonymous
ohh okay okay i gotchu
LynFran
  • LynFran
so wats the x-intercept?
anonymous
  • anonymous
0?
LynFran
  • LynFran
nope
anonymous
  • anonymous
3?
LynFran
  • LynFran
0=(-5x+15)/3
anonymous
  • anonymous
i give up
LynFran
  • LynFran
0*3=(-5x+15)/3*(3)...the 3 will cancel on the right side 0=-5x+15 0+5x=-5x+5x+15 5x=15 x=15/5 x=3 the x-intercept (3,0)
anonymous
  • anonymous
okay i understand it better i guess its still a little confusing but ill look over some more later
LynFran
  • LynFran
lets solve the y-intercept y=(-5(0)+15)/3 y=(0+15)/3 y=15/3
LynFran
  • LynFran
so the y-intercept is?
anonymous
  • anonymous
would it be 5
LynFran
  • LynFran
plz put it in point form
LynFran
  • LynFran
like (x,y)
anonymous
  • anonymous
okay soo (0,5)
LynFran
  • LynFran
yes
anonymous
  • anonymous
yayy
LynFran
  • LynFran
Do u want me to do the 3rd question...or..its ok...
anonymous
  • anonymous
yeah because the way that guy did it really confused me
LynFran
  • LynFran
ok when two lines are perpendicular their slopes=-1 in other words the product of there slope =-1
LynFran
  • LynFran
our equation y=4/9x-2 with point (4,3)
LynFran
  • LynFran
can u tell me the slope for that equation
anonymous
  • anonymous
no because i have no clue whats going on
LynFran
  • LynFran
y=mx+b where m is the slope and b is the y-intercept
anonymous
  • anonymous
m is 4/9x and b is -2?
LynFran
  • LynFran
m=4/9
LynFran
  • LynFran
so |dw:1441396731186:dw|
LynFran
  • LynFran
whats our new slope?
anonymous
  • anonymous
would it be -4/9?
LynFran
  • LynFran
|dw:1441396920476:dw|
LynFran
  • LynFran
|dw:1441397063320:dw|
anonymous
  • anonymous
so it would be -9/4x
LynFran
  • LynFran
so we have our new slope m=-9/4 and points (4,3)
anonymous
  • anonymous
would the answer be c?
LynFran
  • LynFran
yes
LynFran
  • LynFran
do u have any question?....
anonymous
  • anonymous
no, thank you so much for helping me !!!
LynFran
  • LynFran
ok welcome

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