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What is the equation of the line is perpendicular to the given line and passes through the point (3,4)?

What is the equation of the line is perpendicular to the given line and passes through-example-1
User Kolaworld
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1 Answer

2 votes

Answer:

y = 3x-5

Explanation:

The slope of the line on the graph is -1/3. Perpendicular lines have slopes which are negative reciprocals of each other. This makes the slope of the new line 3.

Substitute the values m=3 and the point (3,4) into point slope form and simplify.

y - 4 = 3(x - 3)

y - 4 = 3x - 9

y = 3x -9 + 4

y = 3x - 5

User Pedro Mutter
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