how do you find slope ?

Question

what is the slope of the line whose equation is 3x-2y=12?

Answer 1

Hi Fanny;

3x-2y=12

The equation is in standard form...

Ax+By=C, A>0

Slope is -A/B

-(3/-2)

A negative of a negative is positive....

3/2

Answer 2

You can just choose 2 points on the line, and get the slope by

 

  m =   ( Y₂ - Y_{1 ) /} (X₂ - X_{1 )}

 

  Intercepts :   ( 0 , -6 )   ( 4, 0 )

 

   m = 0 - ( - 6) = 6  = 3 

           4  -  0       4     2 

Answer 3

Re arrange the equation to slope intercept form

y=mx + b where m is slope and b is y intercept

 

3x - 2y =12

 

-2y = 12 - 3x

2y = 3x -12

y = 3/2x  - 6

 

m = slope = 3/2

:)