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

Answer:

$y = \frac{1}{2} x + \frac{5}{2}$

Step-by-step 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.

$3 = \frac{1}{2} (1) + b$

$3 = \frac{1}{2} + b$

$b = \frac{5}{2}$

$y = \frac{1}{2}x + \frac{5}{2}$