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Find the value of m if the lines represented by 2mx-3y=1 and y=1-2x are perpendicular to each other

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by anudeepd2

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by anudeepd2

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So slope for line 2mx - 3y = 1 is m = 2m/3

and slope for line 2x + y = 1 is m₁ = -2

so two lines are perpendicular when

m x m₁ = -1

so ⇒2m/3 x -2 = -1

⇒4m/3= 1

m = 3/4__ANSWER__

and slope for line 2x + y = 1 is m₁ = -2

so two lines are perpendicular when

m x m₁ = -1

so ⇒2m/3 x -2 = -1

⇒4m/3= 1

m = 3/4

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

2 m x - 3 y = 1, y = 2m/3 x - 1/3 => slope = 2m/3

y = 1 - 2x => slope = -2

when two lines are perpendicular, product of their slopes = -1

-2 * 2m /3 = -1 => m = 3/4

y = 1 - 2x => slope = -2

when two lines are perpendicular, product of their slopes = -1

-2 * 2m /3 = -1 => m = 3/4