Write the point-slope form of the line that passes through (5, 5) and is parallel to a line with a slope of 1/4. Include all of your work in your final answer. Type your answer in the box provided to submit your solution.
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 of the line.
We are given the point (5, 5) and the slope m = 1/4. Substituting these values into the point-slope form, we have:
y - 5 = (1/4)(x - 5)
Expanding and simplifying, we have:
y - 5 = (1/4)x - 5/4
Adding 5 to both sides, we have:
y = (1/4)x + 15/4
Therefore, the point-slope form of the line that passes through (5, 5) and is parallel to a line with a slope of 1/4 is y = (1/4)x + 15/4.