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liubo4ka [24]
3 years ago
14

Can someone please help me please thank you

Mathematics
1 answer:
KengaRu [80]3 years ago
6 0

Answer:option 3

Step-by-step explanation:

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For this case we have that by definition, the equation of the line in a slope-intersection form is given by:

y = mx + b

Where:

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b: It is the cut-off point with the y axis

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By definition, if two lines are perpendicular then the product of the slopes is -1.

m_ {1} * m_ {2} = - 1

We findm_ {2}:

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Thus, the equation of the line is:

y = - \frac {1} {2} x + b

We substitute the given point to find "b":

3 = - \frac {1} {2} 6 + b\\3 = -3 + b\\b = 6

Thus, the equation of a line perpendicular to the given line and passing through the given point is:

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Answer:

y = - \frac {1} {2} x + 6

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