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))`.

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)) .

A straight line passes through (1,2) and has the equation y-2x-k =0 . Find k.

If three points (h, 0),(a, b) and (0, k) lie on a 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 k if the line passing through points P(-12,-3) and Q(4,k) has slope 1/2 .

The equation of the line passing through the origin and the point of intersection of the lines (x)/(a)+(y)/(b)=1 and (x)/(b)+(y)/(a)=1 is

Find the slope of the lines : Passing through the points (3, -2) " and " (-1, 4)

A line L passing through the focus of the parabola y^2=4(x-1) intersects the parabola at two distinct points. If m is the slope of the line L , then -1 1 m in R (d) none of these

Show that the equation of the line passing through the origin and making an angle theta " with the line " y = mx + c " is " y/x = (m pm tan)/(1 pm m tan) .

If the line 2x + y = k passes through the point which divides the line segment joining the points (1, 1) and (2, 4) in the ratio 3 : 2, then k equals