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 line passes through the point (1,3) and parallel to the line 3x-5y+7=0 .

Find the combined equation of the pair of lines through the point (1, 0) and parallel to the lines represented by 2x^2-x y-y^2=0

Find the combined equation of the pair of lines through the point (1, 0) and parallel to the lines represented by 2x^2-x y-y^2=0

Find the combined equation of the pair of lines through the point (1, 0) and parallel to the lines represented by 2x^2-x y-y^2=0

Find the equations of the line passing through the point (3,0,1) parallel to the planes x+2y=0 and 3y-z=0 .

Find the equations of the line passing through the point (3,0,1) parallel to the planes x+2y=0 and 3y-z=0 .

The equation of the plane thorugh the point (-1,2,0) and parallel to the lines x/3=(y+1)/0=(z-2)/(-1) and (x-1)/1=(2y+1)/2=(z+1)/(-1) is (A) 2x+3y+6z-4=0 (B) x-2y+3z+5=0 (C) x+y-3z+1=0 (D) x+y+3z-1=0

The equation of the plane through the line x+y+z+3=0=2x-y+3z+1 and parallel to the line x/1=y/2=z/3 is

Determine the values of x and y so that the line joining the points A(x,3,1),B(1,1,-2) is parallel to the line joining the points C(2,5,3),D(-4,y,-6).

Find the equation of the line through the intersection of x-y=1 and 2x-3y+1=0 and parallel to 3x+4y=12 .