Question

Put the following equation of a line into slope-intercept form, simplifying allfractions.4x + 10y = –20

Answer 1

Given the equation of the line:

`4x+10y=-20`

The general slope - intercept form is :

`y=m\cdot x+b`

Where: m is the slope and b is y - intercept

So, we will transform the given equation to the slope - intercept form as following:

`\begin{gathered} 4x+10y=-20 \\ \\ 10y=-4x-20 \end{gathered}`

Divide both sides by ( 10):

`\begin{gathered} (10y)/(10)=(-4x-20)/(10) \\ \\ y=-(4)/(10)x-(20)/(10) \\ \\ y=-(2)/(5)x-2 \end{gathered}`

So, the slope - intercept form of the given equation is :

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