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Write the equation of a line perpendicular to y= -1/3x + 5 and passes through the point (6, 4).

User Gopinath
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1 Answer

7 votes

Answer:

y = 3x - 14

Explanation:

Perpendicular lines will have a opposite reciprocal slope, so the slope will be 3.

Plug in the slope and given point into y = mx + b, then solve for b:

y = mx + b

4 = 3(6) + b

4 = 18 + b

-14 = b

Plug in the slope and y intercept into y = mx + b

y = 3x - 14

So, the equation of the line is y = 3x - 14

User TinyGrasshopper
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