Answer:
[tex]y=\frac{-1}{2} x+1[/tex]
Step-by-step explanation:
In this case , we'll have to carry out several steps to find the solution.
Step 01:
Data
x y
-2 2
4 -1
Equation of the line =?
Step 02:
Equation of the line
Slope formula:
[tex]m=\frac{y2-y1}{x2-x1} =\frac{-1-(2)}{4-(-2)}=\frac{-3}{4+2} =\frac{-3}{6} =\frac{-1}{2}[/tex]
Point-slope form of the line
[tex](y-y1)=m(x-x1)[/tex]
[tex](y-2) =\frac{-1}{2}(x-(-2))\\y=\frac{-1}{2} x-\frac{2}{2}+2\\y=\frac{-1}{2}x-1 +2\\\\y=\frac{-1}{2} x+1[/tex]
The answer is:
The equation of the line is [tex]y=\frac{-1}{2} x+1[/tex]
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