SOLUTION: Thanks again for your help in advance. I need to double check my work. I have to write these points in standard form. The points are (-4,2) and (2,-3). I came up with -5a-6b=8.

Algebra ->  Graphs -> SOLUTION: Thanks again for your help in advance. I need to double check my work. I have to write these points in standard form. The points are (-4,2) and (2,-3). I came up with -5a-6b=8.      Log On


   

Question 151495This question is from textbook college algebra
: Thanks again for your help in advance. I need to double check my work. I have to write these points in standard form. The points are (-4,2) and (2,-3). I came up with -5a-6b=8. Do I need to multply with negative 1 to get rid of the -5a??? This question is from textbook college algebra

Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

First let's find the slope of the line through the points and


m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 Start with the slope formula.


m=%28-3-2%29%2F%282--4%29 Plug in y%5B2%5D=-3, y%5B1%5D=2, x%5B2%5D=2, x%5B1%5D=-4, ,


m=%28-5%29%2F%282--4%29 Subtract 2 from -3 to get -5


m=%28-5%29%2F%286%29 Subtract -4 from 2 to get 6


So the slope of the line that goes through the points and is m=-5%2F6


Now let's use the point slope formula:


y-y%5B1%5D=m%28x-x%5B1%5D%29 Start with the point slope formula


y-2=%28-5%2F6%29%28x--4%29 Plug in m=-5%2F6, x%5B1%5D=-4, and y%5B1%5D=2


y-2=%28-5%2F6%29%28x%2B4%29 Rewrite x--4 as x%2B4


y-2=%28-5%2F6%29x%2B%28-5%2F6%29%284%29 Distribute


y-2=%28-5%2F6%29x-10%2F3 Multiply


y=%28-5%2F6%29x-10%2F3%2B2 Add 2 to both sides.


y=%28-5%2F6%29x-4%2F3 Combine like terms. note: If you need help with fractions, check out this solver.


y=%28-5%2F6%29x-4%2F3 Simplify


6y=-5x-8 Multiply every term by the LCD 6 to clear the fractions.


5x%2B6y=-8 Add 5x to both sides.


------------------------------

Answer:

So the equation in standard form that goes through the points (-4,2) and (2,-3) is


5x%2B6y=-8

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
write these points in standard form. The points are (-4,2) and (2,-3). I came up with -5a-6b=8. Do I need to multply with negative 1
-------------
That is your option.
You could write it as 5a+6b = -8 or you could leave it the way you have it.
=====================
Cheers,
Stan H.