Question

What is the equation in standard form of the line y = 1/9x + 5?A.x = 9y − 45B.x − 9y = −45C.9y = x + 45D.9y − x = 45

Answer 1

Given the equation of a line below:

$y=\frac{1}{9}x+5$

To Determine: The standard form of the line

Solution:

The standard form of the equation of a line is the form

$\begin{gathered} y-mx=c \\ m=\text{slope} \\ c=\text{constant} \end{gathered}$

From the equation of the line given:

$y=\frac{1}{9}x+5$

multiply through by 9

$\begin{gathered} 9\times y=9\times\frac{1}{9}x+9\times5 \\ 9y=x+45 \end{gathered}$

subtract x from both side to have the constant alone on the right hand side

$\begin{gathered} 9y-x=x+45-x \\ 9y-x=45 \end{gathered}$

Hence, the standard form of the given equation of a line is 9y - x = 45, OPTION D