Find the equation of the line that makes an angle of $60^{\circ}$ with the $x$-axis and intersects the $y$-axis at the point $(0, -2)$.

The owner of a milk store finds that he can sell $980$ liters of milk each week at Rs $14$ per liter and $1220$ liters of milk each week at Rs $16$ per liter. Assuming a linear relationship between selling price and demand,how many liters could he sell weekly at Rs $17$ per liter?

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

Reduce the following equation into intercept form and find its intercepts on the axes: $3y + 2 = 0$.

$\beta$ is the angle made by the perpendicular drawn from the origin to the line $L \equiv x+y-2=0$ with the positive $X$-axis in the anticlockwise direction. If '$a$' is the $X$-intercept of the line $L=0$ and $p$ is the perpendicular distance from the origin to the line $L=0$,then $a \tan \beta + p^2 =$

The equation of a line passing through the intersection of lines $x = 0$ and $y = 0$ and through the point $(2, 2)$ is: