If the line $y = mx + c$ passes through the points $(2, 4)$ and $(3, -5)$,then:

The equation of the line passing through $(a, b)$ and parallel to the line $\frac{x}{a} + \frac{y}{b} = 1$ is

Find the equation of the line passing through the point $(-2, 3)$ with a slope of $-4$.

The equation of the line passing through the point $(-1, 3)$ in symmetrical form,when the angle made by the line with the positive direction of the $X$-axis is $120^{\circ}$,is given by:

Reduce the following equation into slope-intercept form and find its slope and the $y$-intercept: $y=0$.

If the line joining two points $A(2,0)$ and $B(3,1)$ is rotated about $A$ in anticlockwise direction through an angle of $15^{\circ}$,then the equation of the line in the new position is