Question

Write in slope-intercept form5x + 10y = -10

Answer 1

`y=-(1)/(2)x-1`

Step-by-step explanation

the equation of a line in slope-intercept point is given by:

`\begin{gathered} y=mx+b \\ \text{where} \\ m\text{ is the slope} \\ b\text{ is the y-intercept} \end{gathered}`

Step 1

isolate y

`\begin{gathered} 5x+10y=-10 \\ \text{subtract 5x in both sides} \\ 5x+10y-5x=-10-5x \\ 10y=-10-5x \\ \text{divide both sides by 10} \\ (10y)/(10)=-(10)/(10)-(5)/(10)x \\ y=-1-(1)/(2)x \\ y=-(1)/(2)x-1 \end{gathered}`

then

`\begin{gathered} y=-(1)/(2)x-1\rightarrow y=mx+b \\ \text{slope}=-(1)/(2) \\ y-\text{intercept}=-1 \end{gathered}`

I hope this helps you