Write the point-slope form of the line that passes through (6, 1) and is perpendicular to a line with a slope of -3. Include all of your work in your final answer. Type your answer in the box provided to submit your solution.
Question
Write the point-slope form of the line that passes through (6, 1) and is perpendicular to a line with a slope of -3. Include all of your work in your final answer. Type your answer in the box provided to submit your solution.
Solution
The slope of a line perpendicular to a given line is the negative reciprocal of the slope of the given line. So, if the given line has a slope of -3, the line perpendicular to it will have a slope of 1/3.
The point-slope form of a line is given by the formula:
y - y1 = m(x - x1)
where m is the slope of the line, and (x1, y1) is a point on the line.
Substituting the given point (6, 1) and the calculated slope 1/3 into the formula, we get:
y - 1 = 1/3(x - 6)
This is the point-slope form of the line that passes through (6, 1) and is perpendicular to a line with a slope of -3.
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