The line r passes through the points (–2, 2) and (5, 8) and the line s passes through the points (–8, 7) and (–2, 0). Is the line r perpendicular to s ?

The line p passes through the points (3, - 2), (12, 4) and the line q passes through the points (6, -2) and (12, 2). Is parallel to q ?

Show that the straight lines 2x + 3y - 8 = 0 and 4x + 6y + 18 = 0 are parallel.

Show that the straight lines x - 2y + 3 = 0 and 6x + 3y + 8 = 0 are perpendicular.

A(1, -2), B(6, -2), C(5, 1) and D(2, 1) be four points What can you deduce from your answer.

Find the slope of the line which is perpendicular to 2x - 3y + 8 = 0

The line joining the points A(0,5) and B(4,1) is a tangent to a circle whose centre C is at the point (4, 4) find The coordinates of the point of contact of tangent line AB with the circle

Find the coordinates at the points of trisection (i.e. points dividing in three equal parts) of the line segment joining the points A(2, -2) and B(-7, 4).

If the points A(6, 1), B(8, 2), C(9, 4) and D(P, 3) are the vertices of a parallelogram, taken in order. Find the value of P.

Find the area of a triangle vertices are(1, -1), (-4, 6) and (-3, -5).