Find the equation of the straight line which cuts the Y-axis at the point (0, -2) making an angle of `30^@` with OX.

Find the equation of the straight line which cuts the Y-axis at the point (0, 2) and cut of intercepts of equal length from the axes.

Find the equation of the straight line passing through the points (-2, 3) and (6, -4).

Find the equation of the straight line which passes through the point (2, -3) and is perpendicular to the straight line joining the points (5, 7) and ( -6, 3).

Write down the equation of the straight line which cuts intercepts 6, -7 from the axes.

Find the equation of the straight line which passes through the point (2, -3) and cuts off intercepts on the axes (i) equal in magnitude and sign

Find the equation of the straight line which passes through the point (2, -3) and cuts off intercepts on the axes (ii) equal in magnitude but opposite in sign

Find the equation of the straight lines which pass through the point (2, 3) and are such that the sum of the intercepts of each line on the axes is 10.

Find the equation of the straight line passing through the point (i) (-1, 2) and parallel to 3x - 4y + 1 =0

Find the differential equation of all straight lines y = mx

Find the equation of the straight line which is parallel to 2x-y+3=0 and passes through the point (2,9).