Chapter 4, Problem 35SGR

To determine

To Write:

Write the equation in standard form .

Answer to Problem 35SGR

The equation in standard form is :

  $y-3x+13=0$

Explanation of Solution

Given Information:

Given equation is :

  $y-2=3(x-5)$

Formula Used:

The standard form of linear equation is :

  $ax+by+c=0$

a ,b and c   can be any number--including negative numbers, zero and one .

Calculation:

Given

  $\begin{array}{l}y-2=3(x-5)\mathrm{....................................}[given\_equation]\\ \Rightarrow y-2=3x-\mathrm{15................................}[simplify]\\ \Rightarrow y-2+15=3x-15+\mathrm{15..................}[add"15"each\_side]\\ \Rightarrow y+13=3x\mathrm{......................................}[simplify]\\ \Rightarrow y+13-3x=3x-3x\mathrm{.......................}[subtract"3x"each\_side]\\ \Rightarrow y-3x+13=\mathrm{0.................................}[simplify]\end{array}$

So, the equation in standard form is :

  $y-3x+13=0$