Question

Write the slope-intercept form of the equation of each line.4) -3+y=2/5x

Answer 1

`y=(2)/(5)x+3`

where

`\begin{gathered} \text{slope}=(2)/(5) \\ y-\text{intercept}=3 \end{gathered}`

Step-by-step explanation

the equation of a line in slope-intercept form 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

then, isolate y

`-3+y=(2)/(5)x`

i) add 3 in both sides

`\begin{gathered} -3+y=(2)/(5)x \\ -3+y+3=(2)/(5)x+3 \\ y=(2)/(5)x+3 \end{gathered}`

Hence, the answer is

`y=(2)/(5)x+3`

where

slope=2/5

y-intercept=3

I hope this helps you