[" 5.Three points "P(h,k),Q(x_(1),y_(1))" and "R(x_(2),y_(2))" lie on a line.Show that "],[(h-x_(1))(y_(2)-y_(1))=(k-y_(1))(x_(2)-x_(1))]

Three points P(h,k),Q(x_(1),y_(1)) and R(x_(2),y_(2)) lie on a line.Show that quad (h-x_(1))(y_(2)-y_(1))=(k-y_(1))(x_(2)-x_(1))

If the points P(h,k),Q(x_(1),y_(1)) and R(x_(2),y_(2)) lie on a line.Show that: (h-x_(1))(y_(2)-y_(1))=(k-y_(1))(x_(2)-x_(1))

Three points P(h, k), Q(dotx_1, y_1) and R(x_2, y_2) lie on a line. Show that (h-x_1)(y_2-y_1)=(k-y_1)(x_2-x_1)

If the points P(h , k),\ Q(x_1, y_1)a n d\ R(x_2, y_2) lie on a line. Show that: (h-x_1)(y_2-y_1)=(k-y_1)(x_2-x_1)dot

If the points P(h,k),Q(X_1,Y_1) and R(X_2,Y_2) lie on a line.Show that (h-x_1)(y_2-y_1)=(k-y_1)(x_2-x_1)

Three points (x_(1),y_(1)),B(x_(2),y_(2)) and C(x,y) are collinear.Prove that (x-x_(1))(y_(2)-y_(1))=(x_(2)-x_(1))(y-y_(1))

If the points (x_(1),y_(1)),(x_(2),y_(2)), and (x_(3),y_(3)) are collinear show that (y_(2)-y_(3))/(x_(2)x_(3))+(y_(3)-y_(1))/(x_(3)x_(1))+(y_(1)-y_(2))/(x_(1)x_(2))=0

If three points (x_(1),y_(1)),(x_(2),y_(2)),(x_(3),y_(3)) lie on the same line,prove that (y_(1)-y_(3))/(x_(2)x_(3))+(y_(3)-y_(1))/(x_(3)x_(1))+(y_(1)-y_(2))/(x_(1)x_(2))=0

The distance between the points p(x_(1),y_(1)) and q(x_(2),y_(2)) given by is :

Prove that the line passing through the points (x_(1),y_(1)) and (x_(2),y_(2)) is at a distance of |(x_(1)y_(2)-x_(2)y_(1))/(sqrt((x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2)))| from origin.