Find the equation of the line passing through (-5, 7) and parallel to :
(i) x-axis
(ii) y-axis

Question

Find the equation of the line passing through (5, -3) and parallel to x - 3y = 4.

KnowledgeBoat · Accepted Answer

Given, ⇒ x - 3y = 4 ⇒ 3y = x - 4 ⇒ y = Comparing above equations with y = mx + c we get, Slope = Since, parallel lines have equal slope. ∴ Slope of line parallel to x - 3y = 4 is . By point-slope form, ⇒ y - y₁ = m(x - x₁) ⇒ y - (-3) = ⇒ 3(y + 3) = x - 5 ⇒ 3y + 9 = x - 5 ⇒ x - 3y - 5 - 9 = 0 ⇒ x - 3y - 14 = 0. Hence, equation of the line passing through (5, -3) and parallel to x - 3y = 4 is x - 3y - 14 = 0.

Mathematics

Find the equation of the line passing through (5, -3) and parallel to x - 3y = 4.

Straight Line Eq

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Find the equation of the line passing through (-5, 7) and parallel to :
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Mathematics

Find the equation of the line passing through (5, -3) and parallel to x - 3y = 4.

Straight Line Eq

Related Questions

The line through A(-2, 3) and B(4, b) is perpendicular to the line 2x - 4y = 5. Find the value of b.

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Find the equation of the line passing through (-5, 7) and parallel to :
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