 Hello and welcome to the session. Let us discuss the following question. It says, find the slope of a line which passes through the origin and the midpoint of the line segment joining the points p0 minus 4 and v80. Now the slope of line joining the points x1 y1 and x2 y2 is given by y2 minus y1 upon x2 minus x1 and the midpoint of line joining x1 y1 and x2 y2 is given by x1 plus x2 upon 2 and y1 plus y2 upon 2. So this knowledge will work as k idea. Let us now proceed on with the solution. We have to find the slope of the line which passes through the origin and the midpoint of the line segment joining these two points. So we first find the midpoints of the line joining these two points 0 minus 4 and v80. It is given by x1 plus x2 upon 2 that is 0 plus 8 upon 2 and y1 plus y2 upon 2 that is minus 4 plus 0 upon 2. So this is equal to 4 minus 2. Now the line passes through the origin that is the point 00. Now we find the slope of line joining the point 00 the midpoint of the line segment joining these two points which is 4 minus 2 and the slope is given by y2 minus y1 that is minus 2 minus 0 upon x2 minus x1 that is 4 minus 0. So this is equal to minus 1 upon 2. Hence the slope of the line passing through origin and the midpoint of the line segment joining these two points is minus 1 upon 2. So this completes the question. Hope you enjoy this session. Goodbye and take care.