What is the equation of the line that is parallel to the given line and passed through point (-4,6)? X=-6 x=-4 y=-6 y=-4

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 = - 6Therefore, 3rd Option is correct that is y = - 6.