[tex]y=m x+c[/tex]
If [tex]m=\frac{1}{2}[/tex]
Then:
[tex]y=\frac{1}{2} x+c[/tex]
Sub in the coordinates given to you:
[tex]-2=\frac{1}{2} *3+c[/tex]
Now:
[tex]\frac{1}{2}*3=1.5[/tex]
Move 1.5 to the other side of the equation and flip the sign.
[tex]-2-1.5=c[/tex]
Therefore, [tex]c = -3.5[/tex].
Replace in the formula (y=mx+c):
[tex]y=\frac{1}{2}x-3.5[/tex]
There is your answer.
