For the following equation, complete the general form Ax + By + C = 0 and identify A, B, and C.?

Question

For the following equation, complete the general form Ax + By + C = 0 and identify A, B, and C.

1.) x = 3y + 1

2.) x = 6

3.) y = x

Answer 1

1)

x = 3y + 1

0 = -x + 3y + 1

-x + 3y + 1 = 0

=> A = -1, B=3 and C=1

2)

x = 6

x - 6 = 0

x + 0y - 6 = 0

=> A=1, B=0 and C=-6

3)

y = x

y - x = 0

-x + y = 0

-x + y + 0 = 0

=> A=-1, B=1 and C=0

Answer 2

if you ahve a graphing calc press Math then zero then put the equation in. use diff numbers for A, B and C until one equals zero.

or

do it the old fashion way and just plug numbers in

Answer 3

1) x-3y-1=0

a=1, b=-3, c=-1

2)  x-6=0

a=1, b=0, c=-1

3) y-x=0

a=-1, b=1, c=0

Answer 4

1) x = 3y + 1

x - 3y - 1 = 0    (-3y - 1 for both sides)

A = 1; B = -3; C = -1

2) x = 6

x + 0y = 6

x + 0y - 6 = 0

A = 1; B = 0 ; C = -6

3) y = x

- x + y = 0      (substract x both sides)

- x + y + 0 = 0

A = -1;  B = 1; C = 0

Done!