Question

If the linear equation $y=7x-4$ is written in standard form, the standard form being $ax+by+c=0,$ then what are the possible value of $a,b,c$?

• A. $a=-7,b=1,c=4$
• B. $a=-7,b=-1,c=-4$
• C. $a=7,b=-1,c=4$
• D. none of these

Answer 1

The correct option is A

$a=-7,b=1,c=4$

The standard form of a linear equation is $ax+by+c=0.$

The given equation is $y=7x-4.$

It can be rewritten as $-7x+y+4=0.$

$\Rightarrow a=-7,b=1andc=4.$

But the equation can also be written as,

$7x-y-4=0.$

$\Rightarrow a=+7,b=-1andc=-4.$