Straight Line Distance Formula If two point A (x 1 , y 1 ) and B(x 2 , y 2 ) are given , The distance between them is Section Formula Consider two points A(x 1 , y 1 ) and B(x 2 , y 2 ) Case 1 : Let a point P(x,y) divides the segment AB internally in the ratio of m : n such that PA : PB = m : n The coordinates of point P(x,y) : Consider two points A(x 1 , y 1 ) and B(x 2 , y 2 ) Case 2 : Let a point P(x,y) divides the segment AB externally in the ratio of m : n such that PA : PB = m : n The coordinate of P (x,y) are : Mid point Formula If P(x,y) is the mid point of AB , then m:n = 1:1 , then the coordinate of point P : Area of triangle Consider a triangle with vertices A(x 1 ,y 1 ) , B(x 2 ,y 2 ) , C(x 3 ,y 3 ) Slope of a Line Slope of a line is defined as the tangent of tha angle θ which a line makes with +ve X-axis. It is denoted by m. m= tanθ Important Points : i) m can be defined as tanθ fo...