Question

Which of the following represents the equation y = mx + b, where m is a positive integer, written in standard form?

Select one:
A. x+y=mb
B. mx−y=−b
C. −mx+y=0
D. 2y+x=−mb

Answer 1

Answer: B. mx−y=−b

Explanation:

The equation of a line in standard form is given by :-

`Ax+By=C`

, where A is a positive integer , B and C are integers.

The given equation :
`y = mx + b`

, where m is a positive integer.

The convert it into standard form , we subtract y and b from both sides , we get

`y -y-b= mx + b-y-b`

Simplify,

`-b= mx -y`

Or we can write it as
`mx -y=-b` → Standard form.

Thus , the equation of line in standard form =
`mx -y=-b` , where m is a positive integer.

Hence, the correct answer is B. mx−y=−b

Answer 2

B. mx−y=−b

Explanation:

Start with ...

... y = mx +b

Subtract mx.

... -mx +y = b

You want the leading coefficient positive, so multiply by -1.

... mx -y = -b . . . . matches selection B