If two lines are perpendicular to one another, then the relation between their slopes m₁ and m₂ is:

1. m₁ = m₂

2. $m$1 = \dfrac{1}{m2}

3. m₁ = –m₂

4. m₁ × m₂ = -1

Assertion (A): The slope of the line passing through the points (3, –2) and (–7, –2) is 0.

Reason (R): The gradient (slope) of a line passing through the points (x₁, y₁) and (x₂, y₂) is $\dfrac{x$2 - x1}{y2 - y1}.

1. A is true, R is false

2. A is false, R is true

3. Both A and R are true

4. Both A and R are false

Assertion (A): The slope of the line perpendicular to the line passing through the points (2, 5) and (–3, 6) is given by 5.

Reason (R): The product of the slopes of two perpendicular lines is always –1.

1. A is true, R is false

2. A is false, R is true

3. Both A and R are true

4. Both A and R are false

Assertion (A): The equation of the line whose inclination is 45° and which intersects the y-axis at the point (0, –4) is x – y = 4.

Reason (R): The equation of the line having slope m and y-intercept c is given by y = cx + m.

1. A is true, R is false

2. A is false, R is true

3. Both A and R are true

4. Both A and R are false