Question

Put the following equation of a into slope-simplifying all fractions 8x+20y= -120

Answer 1

A line equation in slope-intercept form is

`y=mx+b`

Then, to rewrite our equation in slope intercept form we just need to "isolate" the y variable on the left side of the equation.

Our line is

`8x+20y=-120`

Rewritting it, we have

`\begin{gathered} 8x+20y=-120 \\ 8x+20y-8x=-120-8x \\ 20y=-8x-120 \\ (20y)/(20)=(-8x-120)/(20) \\ y=(-8x)/(20)-6 \\ y=-(2)/(5)x-6 \end{gathered}`

This is our line equation written in slope intercept form.

`y=-(2)/(5)x-6`