anonymous
  • anonymous
im trying to find the slope of a line with equation 2x+3y=6
Mathematics
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anonymous
  • anonymous
im trying to find the slope of a line with equation 2x+3y=6
Mathematics
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
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anonymous
  • anonymous
You need the form y = mx+b. So manipulate the equation to isolate Y.
anonymous
  • anonymous
and m would then be my answer>
anonymous
  • anonymous
Yes, you are looking for m.

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anonymous
  • anonymous
practically , - x's coefficient / y's coefficient so , -2/3
anonymous
  • anonymous
So I would first subtract the 2x to the other side, leaving 3y = -2x +6.
anonymous
  • anonymous
Then you divide by 3 since 3y/3 would just leave you with y.
anonymous
  • anonymous
divide both sides by 3 that is.
anonymous
  • anonymous
ok. so if someone asks write the equation of the line through(2 -3) and parallel to y= 4x -1 how would i do thta
anonymous
  • anonymous
Ok you know that the point (2,-3) is going to be on the line of your answer. If two lines are parallel, that means they have the same slope.
anonymous
  • anonymous
So you would substitute your points in, giving you -3 = 4*2 + b
anonymous
  • anonymous
So you have -3 = 8+b. What value of b do you need to make -3 = 8?
anonymous
  • anonymous
11
anonymous
  • anonymous
Be careful. You need -11.
anonymous
  • anonymous
So since -11 is your b value, you construct your equation. y = 4x - 11. You know that it's 4x because if two lines are parallel they have the same slope. We did those calculations to determine your b value.
anonymous
  • anonymous
so it goes back to the original y- 4x-1?
anonymous
  • anonymous
No. Your answer would be y = 4x -11. This line is parallel to y = 4x -1 because they share the same slope.
anonymous
  • anonymous
the -3= 8 +b is used to find the parallel slope that i need
anonymous
  • anonymous
No, the -3 = 8 +b is used to determine your b value (Your y-intercept)
anonymous
  • anonymous
Two lines are parallel if they share the same slope. that's why you already know your slope for the problem because your answer has to have the same slope as your original line.
anonymous
  • anonymous
can we do one more with different points?
anonymous
  • anonymous
Sure. Do you have an example?
anonymous
  • anonymous
(2 -5) parallel to y=2x+3
anonymous
  • anonymous
Ok. Looking at y = 2x +3, What is the slope of our ansewr going to be?
anonymous
  • anonymous
since they must be parallel
anonymous
  • anonymous
should be 2?
anonymous
  • anonymous
Correct. So for our answer equation right now we have y = 2x + b. Now we must find out b value, and since we are given a point (2,-5), we plug those points into our equation to find our b.
anonymous
  • anonymous
ok so its -5= 2x+b
anonymous
  • anonymous
You forgot to plug in your value for x.
anonymous
  • anonymous
-5 = 2*2 +b
anonymous
  • anonymous
ok. -5=4 +b
anonymous
  • anonymous
Correct. Now what b value do we need to make that equation true?
anonymous
  • anonymous
-9
anonymous
  • anonymous
Correct. Now what's our answer?
anonymous
  • anonymous
this is where i get confused... how do i find this answer
anonymous
  • anonymous
Oh ok. Well the question asks for a line, so we know our answer will be an equation of a line. We need the general form of our answer (meaning leaving x and y as x and y in the answer). We calculated our b value and we know our m value since it has to be parallel to our starting line. y = mx + b. Fill out that equation with the information we calculated (m value and b value).
anonymous
  • anonymous
well slopes the same and b is -9 so its y=2x-9?
anonymous
  • anonymous
Absolutely correct
anonymous
  • anonymous
so on this everything fallls back to y=mx+b?
anonymous
  • anonymous
Now if you get an answer and your not sure about it, you can just plug in your given point into your answer and if you get the same thing on both sides the equation of your line works with your point.
anonymous
  • anonymous
In this question yes it does. Since your looking for a line your answer will be in the form of y=mx+b
anonymous
  • anonymous
and what if it asks for perpendicular? (1,-1) perpindicular to y=2x+4
anonymous
  • anonymous
Ok a Perpendicular line will have a slope that is the negative reciprocal of the slope of another line. So in this example look at 2 as (2/1). A reciprocal is when you flip the denominator and the numerator, so my reciprocal of 2/1 would be 1/2. Put a negative sign on that and that's the slope of my perpendicular line.
amistre64
  • amistre64
Pops is suited up eh..... that a missionary photo :)
anonymous
  • anonymous
We will calculate our b value the same way as we did before.
anonymous
  • anonymous
Yeah yeah I hear ya lol
anonymous
  • anonymous
ok so -1=2(1) +4
anonymous
  • anonymous
No you plug in your new slope to find the b value. Your new slope would be -1/2
anonymous
  • anonymous
So we would have -1 = -(1/2)*1 + b
anonymous
  • anonymous
so on these you automatically flip the slope
anonymous
  • anonymous
On a perpendicular line yes. And you change the sign.
anonymous
  • anonymous
ok so -1/2 *1 plus b
anonymous
  • anonymous
Right.
anonymous
  • anonymous
so then b would be 1/2?
anonymous
  • anonymous
It would be -1/2. You have -1 = -(1/2)*1 + b. -1/2 times 1 is just -1/2. So we're left with -1 = -1/2 + b. b has to be -1/2
anonymous
  • anonymous
two negatives make a positive. so then we plug this back in to y=-1/2x+-1/2?
anonymous
  • anonymous
Two negatives make a positive in multiplication, not addition.
anonymous
  • anonymous
But yes your equation is correct.
anonymous
  • anonymous
And that's your answer.
anonymous
  • anonymous
awesome man i think i got it im having to teach myself this stuff cause i missed days lol
anonymous
  • anonymous
Yeah. If you have a graphing calculator you can understand it better if your a visual learner. I'm more of a hands on / visual type learner myself so it helped me years ago when I was learning this stuff
anonymous
  • anonymous
yea. the only way i learn is to beat it into my head lol. well thanks man can i add you on this site somehow in case i get in a rut?
anonymous
  • anonymous
well you can add me as fan. Idk if it will do anything but I try to get on here some.
anonymous
  • anonymous
ok thanks man

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