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