Question

The slope of a line perpendicular to line 2x + 4y − 3 = 0 is ______.

Options

• 2

• −2

• `1/2`

• `-1/2`

Answer 1

The slope of a line perpendicular to line 2x + 4y − 3 = 0 is 2.

Explanation:

For a line in the form Ax + By + C = 0, the slope (m₁) is `-A/B`.

`m_1 = -2/4`

∴ `m_1 = -1/2`

Perpendicular lines have slopes that are negative reciprocals, so flipping the fraction and changing the sign.

`-1/2 = -2` and −2 = +2

So, the perpendicular slope is 2.