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Which equation represents a line which is perpendicular to the line y = 4/3x -7

A)3x + 4y = 8

B)4x – 3y = 24

C)4x + 3y = -6

D)4y - 3x = 12

User HRKoder
by
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1 Answer

3 votes

Answer:

A)3x + 4y = 8

Explanation:

Given expression;

y =
(4)/(3) x - 7

A line perpendicular to this will have negative inverse slope;

the slope of the given line =
(4)/(3)

perpendicular line =
-(3)/(4)

Now;

the equation of the line is;

y =
-(3)/(4) x - 7

multiply through by 4

4y = -3x - 28

4y + 3x = -28

User Soliah
by
7.9k points

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