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Write the point-slope form of the line that passes through (1, -5) and is parallel to a line with a slope of 1. 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 (1, -5) and is parallel to a line with a slope of 1. Include all of your work in your final answer. Type your answer in the box provided to submit your solution.

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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 (1, -5) and is parallel to a line with a slope of 1, we can substitute these values into the formula:

y - (-5) = 1(x - 1)

Simplifying this equation gives:

y + 5 = x - 1

So, the point-slope form of the line that passes through (1, -5) and is parallel to a line with a slope of 1 is y + 5 = x - 1.

This problem has been solved

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