How would I find linear fcn containing (2,-5), (-3.5)?

irishrain

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Oct 11, 2006
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How would I determine the linear function containing these points?

(2,-5) (-3,5)
 
1. find the slope using the slope formula.

\(\displaystyle \L m = \frac{y_1 - y_2}{x_1 - x_2}\)

2. using the slope found in step 1, and using either point (it doesn't matter which one you use), use the point-slope form of a linear equation to find the equation of the line.

\(\displaystyle \L y - y_1 = m(x - x_1)\)
 
irishrain said:
(2,-5) (-3.5)
What is the second point? (There appears to be typo.)

When you reply, please show what you have tried and how far you have gotten. Thank you.

Eliz.
 
irishrain said:
How would I determine the linear function containing these points?

(2,-5) (-3.5)
FIrst find the slope of the line from m =[ (-5 - (5)]/[(2 -(-3)] = -10/5 = -2

Using one of the points to find the y intercept, 5 = (-2)(-3) + b making b = -1

Therefore, y = -2x - 1
 
Thanks so much for the help!
Yes. That was a typo, sorry.
I meant (2,-5) (-3,5)

I didn't understand exactly what I was supposed to do once I plugged the numbers into the (y-y1)=m(x-x1) formula. I've done it over and over and this is what I get...where's the error?

y+5=-2(x-2)
y+5=-2(x+-4)
y=-2x+1

:x
alexandra
 
irishrain said:
I meant (2,-5) (-3,5)

....I plugged the numbers into the (y-y1)=m(x-x1) formula....

y+5=-2(x-2)
y+5=-2(x+-4)
How did the "-2" (first equation) become a "-4" (second equation)?

Thank you.

Eliz.
 
stapel said:
How did the "-2" (first equation) become a "-4" (second equation)?

After I plugged in the numbers I thought I was supposed to multiply the slope(-2) by
(X1) which is 2. That makes negative 4. Have I got this all mixed up?


y+5=-2(x-2)
y+5=-2(x+-4)
y=-2x+1


I'm using this problem for an example.

(3,1) (2,5)
Slope works out to be -4

y-1=-4(x-3)
y-1=-4x+12
y=-4x+13

Sorry for the trouble, but thank you for the help!
Alexandra
 
irishrain said:
y+5=-2(x-2)
y+5=-2(x+-4)
Since the "-2" is still outside the parentheses, it hasn't been multiplied through onto anything. The "2" cannot magically turn into a "4".

Eliz.
 
y + 5 = -2(x - 2)

y + 5 = -2x + 4 ... (-)(-) = (+), remember?

subtract 5 from both sides to finish ...

y = -2x - 1
 
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