Respuesta :

standard form for a linear equation like this one, means, 

no fractions, only integers, 

the variables must be on the left-hand-side, 

the constant all by herself on the right-hand-side, 

and usually the "x" goes before the "y", and the "x" must not have a negative coefficient.

[tex]\bf y=\cfrac{3}{7}x-1\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{7}}{7y=3x-7}\implies -3x+7y=-7 \\\\\\ \stackrel{\textit{multiplying both sides by -1}}{3x-7y=7}\impliedby standard~form[/tex]

The expression in standard form is 7y - 3x  = -7

The standard form of the equation of a line is expressed as Ax + By = C

m is the slope of the line

b is the y-intercept

Given the expression y = 3/7x - 1

Multiply through by 7

7y = 3x - 7

Subtract 3x from both sides

7y - 3x = -7

Hence the expression in standard form is 7y - 3x  = -7

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