Find the equation of a line passing through the origin and parallel to the line 3x – 2y + 4 = 0.
Straight Line Eq
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Question

Find the equation of a line passing through the origin and parallel to the line 3x – 2y + 4 = 0.

KnowledgeBoat · Accepted Answer

Converting 3x - 2y + 4 = 0 in the form y = mx + c we get, ⇒ -2y = -3x - 4 ⇒ y = ⇒ y = + 2 Comparing above equation with y = mx + c we get, m = Since the required line is parallel to the given line, they must have the same gradient: ⇒ Slope of parallel line = Using the slope-intercept form y = mx + c. Since the line passes through the origin, the y-intercept is 0. ⇒ y = x + 0 ⇒ 2y = 3x ⇒ 3x - 2y = 0. Hence, the equation of the required line is 3x - 2y = 0.

Mathematics

Find the equation of a line passing through the origin and parallel to the line 3x – 2y + 4 = 0.

Straight Line Eq

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