167k views
4 votes
Put the following equation of a line into slope-intercept form, simplifying allfractions.4x + 10y = –20

Put the following equation of a line into slope-intercept form, simplifying allfractions-example-1
User Efalcao
by
5.0k points

1 Answer

6 votes

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

User Humbagumba
by
4.1k points