anonymous
  • anonymous
Find the equation of the line that is parallel to the line 2x-3y=-4 containing the point (-5,3)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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karatechopper
  • karatechopper
first you want to get it in slope intercept form
anonymous
  • anonymous
ok
karatechopper
  • karatechopper
slope intercept form= y=mx+b

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karatechopper
  • karatechopper
lets put this in slope intercept form! 2x-3y=-4 subtract 2x on both sides -3y=-2x-4 divide by negative 3 on both sides y-2/3x+4/3
karatechopper
  • karatechopper
mak that be y=2/3x+4/3
saifoo.khan
  • saifoo.khan
Ok, so we will start from solving that given line First of all, solve that line in the form of y=mx+c Where "m" is the slope. Note: Parallel line means same slope. 2x-3y=-4 Solve for y \[3y = 2x +4\]\[y = \frac23x + \frac43\] Comparing this with y=mx+c Slope is "m", so slope we get is 2/3. Now insert the point given and the slope in the formula, (i.e. slope and (-5,2) \[y-y_1 = m(x-x_1)\] \[y - 2 = \frac23 (x-(-5))\] Im sure u can solve now! :)
karatechopper
  • karatechopper
so now lets use a formula called point slope form. do you know the formula for that?
anonymous
  • anonymous
how do you get y-2?
saifoo.khan
  • saifoo.khan
It's given in the question, Point (-5,2)
anonymous
  • anonymous
its (-5,3)
saifoo.khan
  • saifoo.khan
Oh sorry. i overread. make it 3 please.
anonymous
  • anonymous
\[y−2=2/3(x−(−5))\] y=2/3x +5.33
saifoo.khan
  • saifoo.khan
i prefer writing that in fractions
anonymous
  • anonymous
is that the correct answer?
saifoo.khan
  • saifoo.khan
Nope.
anonymous
  • anonymous
whats the answer?
saifoo.khan
  • saifoo.khan
\[y = \frac23 x+\frac{19}{3}\]
anonymous
  • anonymous
its not 19/3. (2/3)*5+2= 5.33
saifoo.khan
  • saifoo.khan
hold on..
anonymous
  • anonymous
ok?
saifoo.khan
  • saifoo.khan
lol, u made a mistake, (2/3)5 + 3
anonymous
  • anonymous
hahah wow. Thanks for catching that!
saifoo.khan
  • saifoo.khan
;]

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