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Help help math please please

Help help math please please-example-1

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\underline{\underline{\large\bf{Solution:-}}}\\

The standard form of a line is given by -


\green{ \underline { \boxed{ \sf{Ax+By=C}}}}

where

  • A= integer
  • x = x-intercept
  • B= integer
  • y = y-intercept
  • C = constant

Given Equation: -


\begin{gathered}\\\implies\quad \sf y = -(5x)/(4) -1 \\\end{gathered}

Arranging equation in standard form -


\begin{gathered}\\\implies\quad \sf y = -(5x)/(4) - (1)/(1) \quad (1 = (1)/(1))\\\end{gathered}


\begin{gathered}\\\implies\quad \sf y = -(5x)/(4) - (1 * 4)/(1 * 4) \\\end{gathered}


\begin{gathered}\\\implies\quad \sf y = -(5x)/(4) - (4)/(4) \\\end{gathered}


\begin{gathered}\\\implies\quad \sf y = (-5x-4)/(4) \\\end{gathered}


\begin{gathered}\\\implies\quad \sf 4y = -5x-4 \\\end{gathered}


\begin{gathered}\\\implies\quad \sf 4y +5x =-4 \\\end{gathered}


\begin{gathered}\\\implies\quad \sf 5x +4y=-4 \\\end{gathered}

Comparing with standard form of line -

  • A = 5
  • B = 4

Thus , 5 is our required answer.

User Metaphox
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