SOLUTION: Write an equation in standard form with integar coefficients for the line with slope {{{3/17}}} going through point ({{{-5}}},{{{-5}}}). The equation of the line is __x _ __y=__

Algebra ->  Linear-equations -> SOLUTION: Write an equation in standard form with integar coefficients for the line with slope {{{3/17}}} going through point ({{{-5}}},{{{-5}}}). The equation of the line is __x _ __y=__      Log On


   

Question 145848: Write an equation in standard form with integar coefficients for the line with slope 3%2F17 going through point (-5,-5).
The equation of the line is __x _ __y=___
(Use integer coeffients for the equation. Make sure the coefficient of x is positve and the greatest common divisor of the coefficient is 1)
Found 2 solutions by stanbon, Edwin McCravy:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
write an equation in standard form with integar coefficients for the line with slope 3
- going through point (-5,-5).
------------------
Form of the equation: y = mx + b
You know m=3 and y=-5 when x=-5; substitute to solve for "b":
-5 = 3*-5 + b
-5 = -15 + b
b = 10
-----------
EQUATION:
y = 3x + 10
---------------
Cheers,
Stan H.

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!

Stanbon's solution is incorrect!
Here is the correct solution!
Solution by Edwin:

Write an equation in standard form with integar coefficients for the line with slope 3%2F17 going through point (-5,-5).

The equation of the line is __x _ __y=___
(Use integer coeffients for the equation. Make sure the coefficient of x is positve and the greatest common divisor of the coefficient is 1)


y-y1 = m(x-x1)

y-%28-5%29+=+%283%2F17%29%28x-%28-5%29%29

y%2B5=%283%2F17%29%28x%2B5%29  

---(you missed a sign in this step unless
you typed -5 and meant 5 in the original 
problem. Now you should not try to keep 
fractions, because they slow down your 
work.  A good rule with few exceptions 
is: whenever you encounter fractions in
an equation, clear of fractions. 
So...)---

Multiply both sides by 17, written as
17 on the left and as 17%2F1 on the
right:

17%28y%2B5%29=%2817%2F1%29%283%2F17%29%28x%2B5%29

Distribute on the left and cancel 17's on
the right:

17y%2B85=%28cross%2817%29%2F1%29%283%2Fcross%2817%29%29%28x%2B5%29

17y%2B85=3%28x%2B5%29

Distribute on the right:

17y%2B85=3x%2B15

You can get the final answer from there 
by either transposing or adding or 
subtracting the same thing to or from 
both sides. Your final answer after 
several steps will be:

3x-17y=70

Edwin
PS
Your work came out all garbled as you can see
below. To see how I typed in the above, right
click then left click on "View Source".

But you don't have to do all that to make a
fraction.  You can make 3%2F17 this way: 

                        (3/17)

You don't have to put the numerator above and
the denominator below.  But you have to use
a lot of parentheses to keep the problem from
being misinterpreted.

MY WORK: y-y =m(x-x )
1 1
y-5=3
_ (x-5)
17
y=3
_ x-10
17 _
17
-__3
17x+y=-__10
17