Answer: The correct option is B.
Explanation:
From the given figure it is noticed that the line passing through the point (1,6) and (5,-2).
The slope of the line is,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{-2-6}{5-1}= \frac{-8}{4} =-2[/tex]
The point-slope form for the line that passes through two points is,
[tex]y-y_1=m (x-x_1)[/tex]
Where m is the slope.
The point is (1,6), So the point slope form is,
[tex]y-6=-2(x-1)[/tex]
And the second point is (5,-2), So the point slope form is,
[tex]y+2=-2(x-5)[/tex]
Therefore option B is correct.
