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3 years ago

An equation of a line through (-1, 4) which is perpendicular to the line y = 4x + 1 has slope and y-intercept

Mathematics

1 answer:

Assoli18 [71]3 years ago

7 0

Answer:

The answer to your question is y = -1/4x + 15/4

Step-by-step explanation:

Data

P (-1, 4)

⊥ y = 4x + 1

Process

1.- Find the slope of the line given

y = 4x + 1

slope = 4

2.- Find the slope of the new line

slope 2 = -1/4

3.- Find the equation of the line

y - y1 = m(x - x1)

Substitution

y - 4 = -1/4(x + 1)

Simplification

y - 4 = -1/4x - 1/4

y = -1/4x - 1/4 + 4

y = -1/4x - 1/4 + 16/4

Result

y = -1/4x + 15/4

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Read 2 more answers

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atroni [7]

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