Find the value of p, given that the line $\dfrac{y}{2} = x - p$ passes through the point (-4, 4).

The given figure represents the lines y = x + 1 and y = $\sqrt{3}x - 1.$ Write down the angles which the lines make with the positive direction of the x-axis. Hence, determine θ.

Find the equation of the line passing through the point (2, -5) and making an intercept of -3 on the y-axis.

The graph of the equation y = mx + c passes through the points (1, 4) and (-2, -5). Determine the values of m and c.