Question

Find the equation of the line that passes through (1,3) and is perpendicular to y = 1 − 2 x . Leave your answer in the form y = m x + c

Answer 1

`y = (1)/(2) x + (5)/(2)`

Explanation:

Since the line with equation y = 1 - 2x has slope -2, we need to find the equation of the line with slope 1/2.

`3 = (1)/(2) (1) + b`

`3 = (1)/(2) + b`

`b = (5)/(2)`

`y = (1)/(2)x + (5)/(2)`