The equation of a line with slope m and passing through a point P(a, b), is given by :

1. (y – a) = m(x – b)

2. (x – b) = m(y – a)

3. (x – a) = m(y – b)

4. (y – b) = m(x – a)

The equation of a line passing through two points A(x₁, y₁) and B(x₂, y₂) is given by:

1. (x – x₁) = $\dfrac{y$2 - y1}{x2 - x1} (y – y₁)

2. (y – y₁) = $\dfrac{x$2 - x1}{y2 - y1} (x – x₁)

3. (y – y₁) = $\dfrac{y$2 - y1}{x2 - x1} (x – x₁)

4. (y – y₁) = $\dfrac{y$1 - y2}{x2 - x1} (x – x₁)

The gradient of the line passing through the points A(–3, 4) and B(2, –6) is:

1. –$\dfrac{1}{2}$

2. –2

3. 2

4. $\dfrac{1}{2}$

The equation of a straight line whose inclination with x-axis is 30° and whose y-intercept is –4, is:

1. $\sqrt{3}x - y - 4\sqrt{3} = 0$

2. $x + \sqrt{3}y - 4\sqrt{3} = 0$

3. $x - \sqrt{3}y - 4\sqrt{3} = 0$

4. $\sqrt{3}x + y - 4\sqrt{3} = 0$