SOLUTION: Write the equation of the line which has y-intercept (0,5) and is perpendicular to the line with equation y = -3x + 1.
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Question 37523: Write the equation of the line which has y-intercept (0,5) and is perpendicular to the line with equation y = -3x + 1.
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Since perpendicular lines have slopes which are negative reciprocals, the line we're interested in has a slope of 1/3, the negative reciprocal of -3.
Now we use the point-slope form and plug in what we know:
y - y1 = m(x - x1)
y - 5 = (1/3)(x - 0)
y = (1/3)x + 5
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