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 If slope of the line is m, show that k-y_(1)=m(h-x_(1))

If a line passing through (4, 1, 2) and (5, k, 0) is perpendicular to the line passing through (2, 1, 1) and (3, 3, -1), then k =

A line passing through (21,30) and normal to the curve y=2sqrt(x). If m is slope of the normal then m+6=

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 the line passing through (4,3) and (2,k) is parallel to the line y=2x+3, then find the value of k.

Equations of the lines passing through a point (x_(1),y_(1)) and making an angle alpha with the line y=mx+c is written as y-y_(1)=(m+-tan alpha)/(1+-m tan alpha)(x-x_(1))

What is the equation of the plane passing through (x_1,y_1,z_1) and normal to the line with lt a, b, c gt as firection ratios ?

Show that the equation of a line passing through a given point (x_(1),y_(1)) and perpendicular to the line ax+by +c =0 is b(x- x_(1))-a(y-y_(1)) =0.

if a line / passes through (k,2k),(3k,3k) and (3,1) , k!=0 and the distance from the origin to the line / is (1)/(sqrt(m)) then m=...

Joint equation of lines passing through the origin, and parallel to the lines y-m_(1)x+c_(1) and y=m_(1)x+c_(2) , is