Question

Rewrite the following equation in slope-intercept form,20y - 19 = - 9x

Answer 1

We will investigate how to express the slope-intercept form off an equation of a straight line.

The standard form of a linear equation is expressed as such:

`20y\text{ - 19 = -9x}`

The slope - intercept form is generally expressed as follows:

`y\text{ = m}\cdot x\text{ + b}`

Where,

`\begin{gathered} m\colon\text{ Slope} \\ b\colon\text{ y-intercept} \end{gathered}`

We will re-arrange the terms in the given expression as follows:

`20y\text{ = -9x + 19}`

Divide the equation by ( 20 ) - Isolate the variable ( y ):

`y\text{ = -}(9)/(20)\cdot x\text{ +}(19)/(20)`