The slope of the line which is perpendicular to the line segment joining the points (8, -5) and (-4, 7) is :

1. -1

2. 1

3. 45°

4. -45°

By formula,

Slope = $\dfrac{y$2 - y1}{x2 - x1}

Substituting values we get :

Slope of line passing through (8, -5) and (-4, 7)

= $\dfrac{7 - (-5)}{-4 - 8} = \dfrac{7 + 5}{-12} = \dfrac{12}{-12}$ = -1.

Let slope of line perpendicular to line segment joining points (8, -5) and (-4, 7) be m.

We know that,

Product of slopes of two perpendicular lines = -1.

∴ m × -1 = -1

⇒ m = $\dfrac{-1}{-1}$ = 1.

Hence, Option 2 is the correct option.