The equation of line which is parallel to given line is , [tex]y=-\frac{1}{2}x-1[/tex]
Option H is correct.
Equation of line :
Given line is passes through points [tex](-4,6)[/tex] and [tex](4,2)[/tex]
Slope of given line is,
[tex]Slope=\frac{2-6}{4+4}=-\frac{1}{2}[/tex]
Since, all parallel lines have the same slope.
So that, slope of line parallel to given line is also equal to [tex]-\frac{1}{2}[/tex]
Equation of required is,
[tex]y=-\frac{1}{2}x+c[/tex]
Since, line passes through point [tex](0,-1)[/tex]
So that, [tex]c=-1[/tex]
Equation of required line become, [tex]y=-\frac{1}{2}x-1[/tex]
Learn more about the equation of line here:
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