Write the point-slope form of the line that passes through (6, 1) and is parallel 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 parallel 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 point-slope form of a line is given by the formula:
y - y1 = m(x - x1)
where (x1, y1) is a point on the line and m is the slope of the line.
Given that the line passes through the point (6, 1) and is parallel to a line with a slope of -3, we can substitute these values into the formula.
So, the point-slope form of the line is:
y - 1 = -3(x - 6)
This can be simplified to:
y - 1 = -3x + 18
So, the point-slope form of the line that passes through (6, 1) and is parallel to a line with a slope of -3 is y - 1 = -3x + 18.
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