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What is an equation of the line that passes through the point (4, 1) and is

perpendicular to the line 2x - y = 4?
Answer:

2 Answers

2 votes

Answer: y₁=-0.5x+3

Explanation:

The equation of the perpendicular line should have an angular coefficient m₁, which is a negative inverse value with respect to the original angular coefficient m

2x-y=4

2x-y+y=4+y

2x=4+y

2x-4=4+y-4

2x-4=y

Thus, y=2x-4


\displaystyle\\Hence,\\\\m=2\\\\m_1=-(1)/(2)\\\\y_1=-(1)/(2)x+b \\

Let us find the equation of the perpendicular line using the equation of the line with the angular coefficient and the given point(4,1):


\displaystyle\\1=-(1)/(2)(4)+b\\\\1=-(4)/(2)+b\\\\\1=-2+b\\\\1+2=-2+b+2\\\\3=b\\\\Thus,\ b=3\\\\Hence, \ y_1=-(1)/(2)x+3 \\\\or\\\\y_1=-0.5x+3

What is an equation of the line that passes through the point (4, 1) and is perpendicular-example-1
User Ijeoma
by
9.1k points
3 votes

Answer:

Explanation:

debatable

User Brandon Montgomery
by
7.8k points

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