A line passes through `(x_1,y_1)`and `(h , k)`. If slope of the line is m, show that `k-y_1=m(h-x_1)`.

Equation of the line passing through (1,2) and parallel to the line y=3x-1 is

A line passes through (2,0). Then which of the following is not the slope of the line, for which its intercept between y=x-1 and y=-x+1 subtends a right angle at the origin?

If three points (h, 0), (a, b) and (o, k) lie on a line, show that a/h+b/k=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

Prow that the line through the point (x_1, y_1) and parallel to the line A x+B y+C=0 is A(x-x_1)+B(y-y_1)=0 .

Find the equation of a curve passing through (1,1) and whose slope of tangent at a point (x, y) is -(x)/(y) .

theta_1 and theta_2 are the inclination of lines L_1 and L_2 with the x-axis. If L_1 and L_2 pass through P(x_1,y_1) , then the equation of one of the angle bisector of these lines is

The straight line passing through P(x_1,y_1) and making an angle alpha with x-axis intersects Ax + By + C=0 in Q then PQ =________________

Find the equation of the straight line through (x_1, y_1) perpendicular to the line joining (x_2, y_2) and (x_3 , y_3) .

Find the equation of a line which passes through the point (1,1) and through the intersection of lines x+y-1=0 and 3x+2y+1=0 .