Write the point-slope form of the equation of the line that passes through the point (-1, 5) and has a slope of -1. Include 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 equation of the line that passes through the point (-1, 5) and has a slope of -1. Include your work in your final answer. Type your answer in the box provided to submit your solution.
Solution
The point-slope form of a linear equation is given by:
y - y1 = m(x - x1)
where (x1, y1) is a point on the line and m is the slope of the line.
Given the point (-1, 5) and a slope of -1, we can substitute these values into the equation:
y - 5 = -1(x - (-1))
Simplify the equation:
y - 5 = -1(x + 1)
So, the point-slope form of the equation of the line that passes through the point (-1, 5) and has a slope of -1 is:
y - 5 = -1(x + 1)
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