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