Determine the equation of the line that is perpendicular to the line y = 3x + 4 and passes through the point (6, 2).
1 answer:
Answer:
y = -1/3x + 4
Step-by-step explanation:
Perpendicular lines: Their gradients are reciprocals.
This means:
- -1 ÷ Gradient 1 = Gradient 2
- Gradient 1 * Gradient 2 = -1
Gradient of the given equation is 3.
-1 / 3 = -1/3
Gradient of the equation we're finding is -1/3
y = -1/3x + c
Substitute the coordinates in to find the value of c
2 = -1/3(6) + c
2 = -2 + c
2 + 2 = c
4 = c
y = -1/3x + 4
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