What is the standard form of (-6, -10) m= 1/6

Question

Its hard for me to understand standard form

Answer 1

Dear Genn,

     Standard form for a line means the following:  AX+ BY =C, where "C" is a constant number, "A" must be a positive integer, and B is just a coefficient (number next to variable). This equation represents a line because X is to the first power.  This line has a slope=m=1/6, which is a positive slope.  This mean that the line is moving towards your right upwards.

 

1.  You need to make sure that the line goes through the point (-6,-10), so use the following equation:

 

Note,  let X1= -6, and Y1= -10.

 

 

Y_2-Y_{1 =} m(X₂ -X₁)   (point slope form)            Y-(-10) = (1/6) (X-(-6))               

 

 

Y+ 10 = 1/6 ( X+6)  You want to rewrite the equation, so that it looks like AX+By =C.

 

Y+10 = 1/6 X  + 1/6 (6/1)                  Y+10= 1/6 X  +1     (-1/6)X +Y= 1 + -10

 

The "A" term is supposed to be a positive integer, but we have a negative fraction here.

 

Multiply each term in the equation by a -6/1; it will solve the problem.

 

(-6/1)(-1/6)X +-6/1 Y = -6/1 (1)  + (-6/1) (-10)     Simplify everything.

 

X  +   -6Y = -6 +60              Collect terms.

 

X+ -6Y = 54      Standard Form,       answer

 

If this example helps you, please give me a thumbs up.

 

                                                             Susan C.