[tex]\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{We have the points R(-1, 2) and S(1, -6)}\\\\\text{substitute:}\\\\m=\dfrac{-6-2}{1-(-1)}=\dfrac{-8}{2}=-4\\\\\text{therefore we have line RS in slope-intercept form:}\ y=-4x+b.\\\\\text{Parallel lines have the same slope.}\\\\\text{Therefore the line equation from question is y = -4x + b.}\\\\\text{It passes through the point A(2, 0).}\\\\\text{Substitute the coordinates of the point A to the equation of the line}:[/tex]
[tex]0=-4(2)+b\\\\0=-8+b\qquad|+8\\\\8=b\to b=8[/tex]
[tex]Answer:\ \boxed{C.\ y=-4x+8}[/tex]
