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

-7,1,4

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-7,-1,-4

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7,-1,4

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none of these

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Solution

The correct option is A
-7,1,4

The standard form of a linear equation is $a x + b y + c = 0.$

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

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

$\Rightarrow a = - 7, b = 1 a n d c = 4.$

But the equation can also be written as,

$7 x - y - 4 = 0.$

$\Rightarrow a = + 7, b = - 1 a n d c = - 4.$

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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?

The correct option is A -7,1,4 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. ⇒a=−7,b=1 and c=4. But the equation can also be written as, 7x−y−4=0. ⇒a=+7,b=−1 and c=−4.

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