Answer:
3rd Option is correct that is y = - 6.
Step-by-step explanation:
Given:
Points on the given line: ( -8 , 4 ) and ( 8 , 4 )
To find: Equation of line passing through ( -4 , -6 ) and parallel to given line.
We find the equation of the line using Slope-Point form.
Both line are parallel means Slope of both lines are equal.
Slope of the Required line, m = Slope of given line
= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{4-4}{-8-8}[/tex]
= [tex]0[/tex]
So, the equation of line
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-(-6)=0(x-(-4))[/tex]
[tex]y+6=0[/tex]
y = - 6
Therefore, 3rd Option is correct that is y = - 6.
