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| | The New Kid Join Date: Sep 2007
Posts: 7
| Easy question *must show work* :
09-21-2007
Show work plx
Write and equation of the line that contains the points (-6,9) and (-11,-4) |
| | | Administrator Join Date: Mar 2006 Location: Hoover
Posts: 206
| 
09-21-2007
shit, wish i was in highschool. hang on i'll get some people to help you with this |
| | | Skinny Nerd Join Date: Jun 2007 Location: Scotland
Posts: 41
| 
09-21-2007
i'm confusing myself. anyone else gettin 2.6 for the gradient? :S
the way im taught how to do these is: to find the gradient y2-y1/x2-x1 = -4 - 9 / -11 + 6
= -13/-5
= 2.6
then use the equation y-b=m(x-a) and put in the values (-6,9) = (a,b) and (-11, -4) = (x, y)
so it'll be -4 - 9 = 2.6(-11 -(-6))
but i think i've done it wrong =/ sorry. cause we normally use the equation to find out the 2 points you don't know :S.
Last edited by Higgins; 09-21-2007 at 10:31 AM.
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| | | The New Kid Join Date: Sep 2007
Posts: 3
| 
09-21-2007
slope=change in y value/change in x value=rise over run or slope
so
(-6,9) and (-11,-4)
9-(-)4=13 (change in y value)
-11-(-)6=5 (change in x value)
so 13/5=y/x=rise over run
so the slope is 13/5 so rise 13 run 5, slope =13/5
so use one of your coordinates and plug in with y=mx+b
-6,9
x, y
y=13/5(-6)+9=-6.6, which you have to convert the decimal to an improper fraction, then you have your equation solved...
I hope i helped, its been about 4 years since my last math class in highschool. Im in calc now and i cant remember the last time i did algebra |
| | | Skinny Nerd Join Date: Jun 2007 Location: Scotland
Posts: 41
| 
09-21-2007
dont you only use y=mx+b for a straight line? |
| | | The New Kid Join Date: Sep 2007
Posts: 3
| 
09-21-2007
god no, y=mx+b is slope blah blah
and the only line that isn't "Straight" is a parabola, and i bet his aint dealing with parabola's in alg I |
| | | The New Kid Join Date: Sep 2007
Posts: 3
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09-21-2007
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| | | Skinny Nerd Join Date: Jun 2007 Location: Scotland
Posts: 41
| 
09-21-2007
meh, you's do it differently and have different names for stuff so im just getting more confused  lol.
i think i get it. you's use the word "slope" for the gradient? never mind im just gonna do my calculus homework ¬_¬.
Last edited by Higgins; 09-21-2007 at 10:48 AM.
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| | | The New Kid Join Date: Jun 2007
Posts: 4
| 
09-21-2007
Quote:
Originally Posted by tags r dumb slope=change in y value/change in x value=rise over run or slope
so
(-6,9) and (-11,-4)
9-(-)4=13 (change in y value)
-11-(-)6=5 (change in x value)
so 13/5=y/x=rise over run
so the slope is 13/5 so rise 13 run 5, slope =13/5
so use one of your coordinates and plug in with y=mx+b
-6,9
x, y
y=13/5(-6)+9=-6.6, which you have to convert the decimal to an improper fraction, then you have your equation solved...
I hope i helped, its been about 4 years since my last math class in highschool. Im in calc now and i cant remember the last time i did algebra | You made a mistake when you subbed it into y=mx+b. You used the y value for b; the value of b should be the y-intercept value.
Here's the correct equation with explanations:
(-6,9) and (-11,-4)
First you find the slope between the two points:
m=delta y/delta x
m = (-4-9)/(-11-(-6))
m = -13/-5
m = 13/5
Then, since you have the slope and you also have two usable points that the line goes through, you sub it into this formula:
y=m(x-p)+q
Where m is the slope, y and x are left as they are, p is the x value of one point (TIMES -1, so it's sign will be opposite of what the x value is for the graph), and q is the y value of the same point.
y=m(x-p)+q
y=13/5(x+6)+9
y=13/5x+78/5+45/5
y=13/5x+123/5
y=2.6x+24.6
So, the equation of the line that contains the points (-6,9) and (-11,-4) is y=2.6x+24.6. |
| | | I hand out detentions. Join Date: Feb 2007 Location: Shmads of a Down
Posts: 1,451
| 
09-21-2007
Quote:
Originally Posted by Knox You made a mistake when you subbed it into y=mx+b. You used the y value for b; the value of b should be the y-intercept value.
Here's the correct equation with explanations:
(-6,9) and (-11,-4)
First you find the slope between the two points:
m=delta y/delta x
m = (-4-9)/(-11-(-6))
m = -13/-5
m = 13/5
Then, since you have the slope and you also have two usable points that the line goes through, you sub it into this formula:
y=m(x-p)+q
Where m is the slope, y and x are left as they are, p is the x value of one point (TIMES -1, so it's sign will be opposite of what the x value is for the graph), and q is the y value of the same point.
y=m(x-p)+q
y=13/5(x+6)+9
y=13/5x+78/5+45/5
y=13/5x+123/5
y=2.6x+24.6
So, the equation of the line that contains the points (-6,9) and (-11,-4) is y=2.6x+24.6. | Great post Knox. |
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