What is the distance between the points (-4, 5) and (8, -4) ?

The correct answer is Option (1) → 15 units

By the distance formula, the distance between \((x_1,\,y_1)\) and \((x_2,\,y_2)\) is \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\), Pythagoras’ theorem on the horizontal and vertical gaps between the points.

• Horizontal gap: \(8-(-4)=12\), and \(12^2=144\)

• Vertical gap: \(-4-5=-9\), and \((-9)^2=81\)

• Distance \(=\sqrt{144+81}=\sqrt{225}=15\) units