Question

The equation of the line passing through origin and parallel to the line 3x + 4y + 7 = 0 is ______.

Options

• 3x + 4y + 5 = 0

• 4x − 3y − 5 = 0

• 4x − 3y = 0

• 3x + 4y = 0

Answer 1

3x + 4y = 0

Explanation:

Given, equation of line, 3x + 4y + 7 = 0 Since, equation of line parallel to straight line

3x + 4y = −7

3x + 4y = с

Since it passes through the origin

∴ 3(0) + 4(0) = c

c = 0

Thus, the required equation is

3x + 4y = 0