Need help with a lil 11th grade problem plz.

RecklaZ

Senior member
Mar 13, 2001
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Find the equation of a line having the same x intercept 4x+3y=0 and parallel to 5x+4y-1=0

Thanks
 

Viper GTS

Lifer
Oct 13, 1999
38,107
433
136
The x-intercept of 4x + 3y = 0 is at x=0, & for the line to be parallel to 5x+4y-1=0 the slope has to be the same but you need to have a horizontal phase shift.

Find the intercept of your second equation, & do whatever it takes to shift the equation to it's new home passing through x=0.

As always, no guarantees as to the accuracy.

:)

Viper GTS
 

MisterPants

Senior member
Apr 28, 2001
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y=-5/4x

Might want to do your own HW, as if you didn't know this I doubt you'd pass the test. I'm a stout opponent of homework grading or grades based on homework completion, but knowing the material is key.

put it in slope-intercept form to find slope. m is the slope

y=mx+b

to find x intercept, put it in standard form.

Ax+Bx=C.
However, C is 0, so I put it in slope-intercept.

y=-4/3x.

Y-int is 0, slope is 4/3. If either intercept is 0, the other must also be 0.

For convenience, if C is 0, you can assume the point passes through origin (0,0). Just wanted to illustrate this point.

Parallel lines have the same slope.

Thus, all the equation needs is a slope, in SI form, since it passes through origin. Would be y=-5/4x
 

Logix

Diamond Member
Jul 26, 2001
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<<Find the equation of a line having the same x intercept 4x+3y=0 and parallel to 5x+4y-1=0>>

Dude, this is 11th grade material??? You should be doing your own homework. Here are some hints to get you started.

For the first equation, you can find the X-intercept by setting y=0.

For the second equation, rearrange it into y=mx+b form to get the slope, m, and then the parallel line to that will have the SAME SLOPE.

EDIT: I'm a moron, I was thinking perpendicular, which is negative inverse.

/me needs more sleep.
 

A5

Diamond Member
Jun 9, 2000
4,902
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<< and then the parallel line to that will be the negative inverse slope or, -1/m. >>


Parallel lines have the same slope ;)
 

Logix

Diamond Member
Jul 26, 2001
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Thanks, A5. I've editted my post to reflect the real world.

/me concocts story: "I was doing that thing where you know the person next to you is copying off your test, so you purposely fill in the wrong answer to throw 'em off..."
 

Shadowfire

Banned
Aug 25, 2001
382
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WOW!
Jeez, thats like 10th grade stuff...
I on freakin Polinomial Equations, and parabolas, and synthetic division and all... <-- PreCalc in 11th garde...
But line equations...?!
 

duragezic

Lifer
Oct 11, 1999
11,234
4
81
Wtf I don't know any of that stuff.

Got an A (by .1%!) in Precalc this quarter though. Woo thank you AT for the help on those couple bonus problems because if I would've had ONE less bonus problem in I would get a damn A- and then no 4.0.