Write the point-slope form of the line that passes through (5, 5) and is parallel to a line with a slope of . Include all of your work in your final answer. Type your answer in the box provided to submit your solution.
To find the point-slope form of a line that is parallel to another line, we can use the fact that parallel lines have the same slope.
The given line has a slope of . Therefore, our parallel line will also have a slope of .
We are also given that the parallel line passes through the point (5, 5). We can use this point and the slope to find the equation of the line.
The point-slope form of a line is given by:
(y - y1) = m(x - x1)
where (x1, y1) is a point on the line, and m is the slope.
Substituting the values of the point (5, 5) and the slope , we get:
(y - 5) = (x - 5)
This is the equation of the line in point-slope form.