Use slopes to show that the quadrilateral with vertices at left parenthesis 7 comma 8 right parenthesis(7, 8)​, left parenthesis negative one half comma 4 right parenthesis− 1 2, 4​, left parenthesis negative five halves comma 10 right parenthesis− 5 2, 10 and left parenthesis 9 comma 2 right parenthesis(9, 2) is a parallelogram. Question content area bottom Part 1 The line that contains the points left parenthesis 7 comma 8 right parenthesis(7, 8) and left parenthesis negative five halves comma 10 right parenthesis− 5 2, 10 has a slope of negative eight fifteenths− 8 15​, which is parallel to the line that contains the points left parenthesis 9 comma 2 right parenthesis and left parenthesis negative one half comma 4 right parenthesis .(9,2) and − 1 2, 4. The line that contains the points left parenthesis negative five halves comma 10 right parenthesis− 5 2, 10 and left parenthesis negative one half comma 4 right parenthesis− 1 2, 4 has a slope of negative 1−1​, which is parallel to the line that contains the points left parenthesis 9 comma 2 right parenthesis and left parenthesis 7 comma 8 right parenthesis .(9,2) and (7, 8). ​Therefore, the quadrilateral is a parallelogram. ​(Type integers or simplified​ fractions.)