Q31. - Algebra 1

Question

Write the given equation in standard form.

$\mathit{y}\mathbf{-}\mathbf{3}\mathbf{=}\mathbf{5}\left(x-2\right)$

Step-by-Step Solution

Answer

The equation of the line in standard form is $\mathbf{5}\mathit{x}\mathbf{-}\mathit{y}\mathbf{=}\mathbf{7}$.

Step 1. Standard form of the linear equation:

The standard form of an equation of a line is given by,

$ax+by=c$

Where,  $a,b$, and, $c$ are the real numbers.

Step 2. Change the equation in standard form.

The equation is given by,

$\begin{array}{c}y-3=5\left(x-2\right)\\ y-3=5x-10\\ 5x-y=-3+10\\ 5x-y=7\end{array}$

This equation is in standard form $ax+by=c$, where $a=5$, $b=-1$ and $c=7$.

Therefore, the equation of the line in standard form is $5x-y=7$.