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

Step-by-step 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

Answer 2

Answer: B. mx−y=−b

Step-by-step 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