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)`.

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

If three points (h, 0), (a, b) and (0, k) lies on a line, show that a/h+b/k=1

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) .

The equation of the line passing through (1, 1, 1) and perpendicular to the line of intersection of the planes x+2y-4z=0 and 2x-y+2z=0 is

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

Find the equation of the line passing through (1,2,3) and parallel to the planes x-y+2z=5 and 3x+y+z=6.

If three points A(h,0), B(a, b) and C(0, k) lie on line, show that (a)/(h) +(b)/(k)=1 .

Prove that the line through the point (x_(1),y_(1)) and parallel to the line Ax+By+C=0 is A(x-x_(1)) +B(y-y_(1))=0 .

Find the equations of the straight line passing through the point (2, 3, -1) and is perpendicular to the lines : (x-2)/2=(y+1)/1=(z-3)/3 and (x-3)/1=(y+2)/1=(z-1)/1 .