anonymous
  • anonymous
Indicate the equation of the given line in standard form.The line through point (-3, 4) and perpendicular to a line that has slope 2/5
Algebra
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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terenzreignz
  • terenzreignz
Okay, this is pretty much like before, we have a point (a,b), but we don't have a slope m... yet... right?
anonymous
  • anonymous
right.
terenzreignz
  • terenzreignz
But we have the necessary information to get the slope... we know that it's perpendicular to a line with slope 2/5 Following me so far?

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anonymous
  • anonymous
kinda.
terenzreignz
  • terenzreignz
Please be sure, and if there's anything you don't understand, tell me :D
anonymous
  • anonymous
ok. i sorta just needed to reread the question.
terenzreignz
  • terenzreignz
Okay.... tell me when you're ready to proceed.
anonymous
  • anonymous
oh ok i see where it says its perpendicular. im ready to go on.
terenzreignz
  • terenzreignz
Okay, when two lines are perpendicular, their slopes, say m1 and m2 have this property... \[\Large m_1m_2 =-1\]
terenzreignz
  • terenzreignz
Everything okay so far? (Tell me if I'm being too slow)
anonymous
  • anonymous
yeah. get it.
terenzreignz
  • terenzreignz
Okay, so we need the slope of our line, while only knowing that it is perpendicular to a line with slope 2/5. So let's let m be our missing slope And we have this relation \[\Large \frac25\color{green}m = -1\] Can you solve for m?
anonymous
  • anonymous
i dont understand how to solve for m.
terenzreignz
  • terenzreignz
Okay, let me put it this way instead... If you have a line which is perpendicular to another line with a known slope ... then...
terenzreignz
  • terenzreignz
What you do with that slope is flip it around, and then multiply by -1. So in this case, our line is perpendicular to a line of slope 2/5 So to get the slope of our line, we flip around 2/5, giving us 5/2 and then multiply it by -1 So the slope m of our line is given by \[\Large \color{green}m = \color{green}{-\frac25}\]
terenzreignz
  • terenzreignz
Sorry, my bad... \[\Large \color{green}{m}=\color{green}{-\frac52}\]
anonymous
  • anonymous
oh ok... you must have a lot of patience.
terenzreignz
  • terenzreignz
quite :D so we now have a slope m We have values for a and b... what are they?
anonymous
  • anonymous
-3 & 4
terenzreignz
  • terenzreignz
That's right :D So... recap \[\large \color{green}m = \color{green}{-\frac52}\]\[\large\color{red}{a}= \color{red}{-3}\]\[\large \color{blue}{b}= \color{blue}4\] Just plug them into our equation.... (Please do remember this form) \[\Large y = \color{green}m(x-\color{red}a)+\color{blue}b\]
terenzreignz
  • terenzreignz
@Grimmlockhart stuck?
terenzreignz
  • terenzreignz
I have to go now, though, if you still have questions, I'm sure there are plenty of people here who can assist you :) --------------------------------- Terence out

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