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]
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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