Answer:
- y = 1/2x - 1, same line as given
Step-by-step explanation:
Given
- Line y = 1/2x - 1 and the point P(4, 1) on the parallel line
To find
- Equation of the parallel line
Solution
We know that parallel lines have equal slopes, so the line we are looking for has the slope of 1/2.
Use the coordinates of point P and point-slope form:
- y - y₁ = m(x - x₁), where m-slope, (x₁, y₁) is the point on the line
- y - 1 = 1/2(x - 4)
- y - 1 = 1/2x - 2
- y = 1/2x - 2 + 1
- y = 1/2x - 1
