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19 votes
19 votes
Write an equation of the line that passes through (7,10) and is perpendicular to the line y=1/2x−9.

User Xiaochen
by
2.6k points

2 Answers

19 votes
19 votes

Answer:

y+2x=24

Explanation:

the equation of the line: y=1/2x -9

Get the slope by using derivative:

dy/dx= 1/2

dy/dx= slope of the normal line

Since we are looking for slope of the tangent line:

Use Mn=-1/Mt

The slope of the tangent line is -2

Using point slope form:

(y-y1)=m(x-x1) ; where x1=7, y1=10, and m=-2

y-10=-2(x-7)

y-10=-2x+14

ANSWER: y+2x=24

User GeertH
by
3.3k points
18 votes
18 votes

y = -2x + 24

hope this is helpful!

User Demarcmj
by
2.8k points
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