Anyway, I am stuck on this problem..Can you please help me?
Don't just do the problem though, Teach me how 2 do it please!
Here it is:
Write in slope intercept form the equation of the line that is parallel to the given line and passes through the given point.
#1. y = 2x - 11, (3,4)
Thank You And I Love You Forever!Teehee
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Sorry i had to post this here, no1 really answered this question in the homework help section. :/
2006-12-07
16:00:11
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9 answers
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asked by
Anonymous
in
Science & Mathematics
➔ Mathematics
Slope-intercept form is
y = mx + b
where m is the slope of the line.
Your given line has a slope of 2, so your new line will also.
y = 2x + b
We have to find the value for b. Since your new line passes through (3, 4), we have
4 = 2 * 3 + b
4 = 6 + b
b = -2
Your line is
y = 2x - 2
2006-12-07 16:08:31
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answer #1
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answered by ? 6
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OK, your slope is 2, and any parallel line will have that slope. First we get the equation of the desired line by setting up the ratio
(y - 4)/(x - 3) = 2.
This assures that our line is parallel to the original. Now, putting the equation into slope-intercept form:
(y - 4) = 2(x - 3)
y - 4 = 2x - 6
y = 2x - 2
2006-12-07 16:25:49
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answer #2
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answered by Helmut 7
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the equation given is in slope intercept form already so you know that the slope of a line parallel to that line is the same so the slope of the other line is also two. then you just have to find out your y intercept. to do that you just have to fill in your slope into your equation:
y = mx + b
y = 2x + b
then you fill in for x and y
4 = 2 (3) + b
solve for b
4 = 6+ b
-6 -6
-2 = b
then all you have to do is plug the -2 into your slope intercept equation
y=2x -2
2006-12-07 16:10:17
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answer #3
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answered by some evil guy 2
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"parallel" means the same slope.
The slope of "y = 2x-11" is 2 (it is the "m" in y=mx+b)
So the line you are looking for satisfies the equation
y = 2x+b
To finish the problem, you plug in the values for the point you want it to go through:
(x,y) = (3,4)
which means x = 3 and y = 4
substitution gives you
4 = 2*3 + b
therefore b = 4-2*3 = 4-6 = -2
So, y = 2x-2 is the answer
2006-12-07 16:06:54
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answer #4
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answered by firefly 6
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because the line is parallel to the given equation, the gradient would be the same, therefore
y=2x + a where a is constant
Then, substitute in the given point:
4 = 6 +a
By equating the equation, a = -2
Thus the final equation is
y=2x-2
2006-12-07 16:09:55
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answer #5
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answered by Jen 3
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since you are given both a slope and a point you can put the point into the equation y-(y coordinate)=slope*(x-(x coordinate))
since 2 is your slope, your x coordinate is 3 and your y coordinate is 4, have the equation:
y-4=2(x-3).
then solve for y and you get y=2x-2.
2006-12-07 16:07:44
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answer #6
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answered by Jessie 2
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(3,4) repersent cordinets on a graph. there are always paired as (x,y), There for you can plug 3 in for x and 4 in for y and solve. y=mx+b is the slope formula. this quation will help you plot a line on a graph
2006-12-07 16:06:18
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answer #7
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answered by kimski82 1
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y = 2x + b
4 = (2*3) + b
4 = 6 + b
b + -2
y = 2x - 2
2006-12-07 16:03:17
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answer #8
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answered by Luna 4
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2006-12-07 23:25:43
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answer #9
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answered by shop l 1
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