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

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

KnowledgeBoat · Accepted Answer

Slope of the line = Slope of line passing through A and B is m₁, The equation of other line is, ⇒ 2x - 4y = 5 ⇒ 4y = 2x - 5 ⇒ y = ⇒ y = Comparing the equation with y = mx + c we get, slope = m₂ = As lines are perpendicular to each other, we have Hence, the value of b is -9.

Mathematics

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

Straight Line Eq

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