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A line passes through the points (-3, -5) and (6,1). The equation of this line can be expressed in the form Ax+By = C, where , A , B and C are integers with greatest common divisor 1 and A is positive. Find Find A+B+C.

 Mar 13, 2021
 #1
avatar+311 
+2

From (-3, -5) to (6, 1), the line goes 9 right, and 6 up.

 

Then the the equation must be y=6/9x-3 

 

9y=6x-27

 

9y-6x=-27

 

Yeah umm. It's not very possible with a GCD of 1.

 

9-6-27=-24

 

Yay!

 

EDIT: RIP Varxaax, 2020-2021

 Mar 13, 2021
edited by Varxaax  Mar 13, 2021
 #2
avatar+311 
+1

RIP My mathematics career, Never-2021, Died by: EP.

Varxaax  Mar 13, 2021
 #3
avatar+30829 
+3

Slope =   (-5-1) / (-3-6) = -6/-9   = 6/9    ( as varxaax found)

 

Point slope form    becomes     (y-1) =2/3 (x-6)

                                                     y = 2/3x -3

                                                      3y -2x = -9

 Mar 13, 2021
edited by ElectricPavlov  Mar 13, 2021
 #4
avatar+311 
+1

forgot i could divide it.

Varxaax  Mar 13, 2021
 #5
avatar+30829 
+1

Yah....well I made a mistake too!   Just edited it    cheeky      It's Saturday math .....

ElectricPavlov  Mar 13, 2021
 #6
avatar+117637 
0

LOL!!!

 

The problem is  that my "Saturday"  math largely  resembles  my "Other Days of the Week"  math.....

 

 

cool cool cool

CPhill  Mar 13, 2021
 #7
avatar+311 
0

That just means you're really good at math, CPhill...

Varxaax  Mar 13, 2021
 #8
avatar+30829 
0

Varxaax says it all !     cheeky

ElectricPavlov  Mar 13, 2021

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