Question

Find the slope & y-intercept: x + 2y –9= 0

Answer 1

Step-by-step explanation

we have

`x+2y-9=0`

to know the slope and the y-intercept the easiest way is by isolating y to get the slope-intercept form

Step 1

isolate y

`\begin{gathered} x+2y-9=0 \\ add\text{9 in both sides} \\ x+2y-9+9=0+9 \\ x+2y=9 \\ \text{subtract x in both sides} \\ x+2y-x=9-x \\ 2y=9-x \\ \text{divide both sides by 2} \\ (2y)/(2)=(9)/(2)-(x)/(2) \\ y=-(1)/(2)x+(9)/(2) \end{gathered}`

Hence

`\begin{gathered} y=-(1)/(2)x+(9)/(2)\rightarrow y=mx+b \\ m\text{ is the slope} \\ b\text{ is the y intercept} \end{gathered}`

therefore

`\begin{gathered} \text{slope}=-(1)/(2) \\ y-\text{intercept =}(9)/(2) \end{gathered}`

I hope this helps you