Find the slope of the line passing through the points $(3, -2)$ and $(7, -2)$.

The equation of the line,where the length of the perpendicular segment from the origin to the line is $4$ and the inclination of this perpendicular segment with the positive direction of the $X$-axis is $30^{\circ}$,is:

If the line $px - qy = r$ intersects the coordinate axes at $(a, 0)$ and $(0, b)$,then the value of $(a + b)$ is equal to

What is the equation of the line passing through $(3, -4)$ and $(4, 3)$?

$A$ line passing through the point $A(2, 3)$ makes an angle of $45^{\circ}$ with the $x$-axis and intersects the line $x + y + 1 = 0$ at point $P$. Find the distance $AP$.

The equations of the lines which make intercepts on the axes whose sum is $8$ and product is $15$ are