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 ):

$y\text{ = -}\frac{9}{20}\cdot x\text{ +}\frac{19}{20}$