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

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

step-by-step explanation:

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