Question

Rewrite the following equation and slope-intercept form.19x-11y= 7Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer 1

The slope-intercept form of the given equation is;

`y=(19)/(11)x-(7)/(11)`

Step-by-step explanation:

The slope-intercept form of a line equation is written in the form;

`y=mx+b`

Where;

m is the slope

b is the intercept on the y axis.

We want to transform the given equation to the form above;

`19x-11y=7`

firstly let us subtract 19x from both sides;

`\begin{gathered} 19x-19x-11y=7-19x \\ -11y=-19x+7 \end{gathered}`

Then let us divide both sides by -11;

`\begin{gathered} (-11y)/(-11)=(-19x+7)/(-11) \\ y=(-19x)/(-11)+(7)/(-11) \\ y=(19)/(11)x-(7)/(11) \end{gathered}`

Therefore, the slope-intercept form of the given equation is;

`y=(19)/(11)x-(7)/(11)`