Answer: [tex]y=-\frac{1}{2} x-3.5[/tex]
Step-by-step explanation:
find the slope:
[tex]\frac{y2-y1}{x2-x1}=\frac{-4+2}{1+3} =\frac{-2}{4} =-\frac{1}{2}[/tex]
Now our equation looks like:
[tex]y=-\frac{1}{2} x+b[/tex]
To solve for b, plug in one of the coordinates
[tex]-4=-\frac{1}{2} (1)+b[/tex]
[tex]-4=-\frac{1}{2} +b[/tex]
[tex]b=-3.5[/tex]
Put our equation together to get y = -1/2x-3.5
