Segment AB is on the line y − 4 = −5(x − 1), and segment CD is on the line y − 4 = one fifth(x − 5). Which statement proves the relationship of segments AB and CD?

Answer:"They are perpendicular because they have slopes that are opposite reciprocals of −5 and one fifth."Step-by-step explanation:These lines are both in a form called point-slope form which is[tex]y-y_1=m(x-x_1)[/tex] where m is slope and [tex](x_1,y_1)[/tex] is a point on the line.If we determine the slopes are opposite reciprocal, then we have determine the lines are perpendicular.[tex]y-y_1=m(x-x_1)[/tex] y − 4 = −5(x − 1), we see the m is -5.The slope of this line is -5.[tex]y-y_1=m(x-x_1)[/tex] y − 4 = one fifth(x − 5), we see the m is (1/5).The opposite reciprocal of -5 is 1/5 so theses lines are perpendicular.