Question

Write an equation of the line that passes through P(4, 1) and is parallel to the line

Y = 1/2x -1 ?
Need help with problem

Answer 1

• y = 1/2x - 1, same line as given

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