Question

Find the equation of the line that passes through (3,-2) and whose m=1/2

Answer 1

`y=m x+c`

If
`m=(1)/(2)`

Then:

`y=(1)/(2) x+c`

Sub in the coordinates given to you:

`-2=(1)/(2) *3+c`

Now:

`(1)/(2)*3=1.5`

Move 1.5 to the other side of the equation and flip the sign.

`-2-1.5=c`

Therefore,
`c = -3.5`.

Replace in the formula (y=mx+c):

`y=(1)/(2)x-3.5`

There is your answer.