Find the equation of the straight line perpendicular to y = - 2x + 1

y = 1/2x + 1

Step-by-step explanation:

To find a line that is perpendicular to another line, you have to find the negative reciprocal of the slope of the original line, and use that as the slope for the new perpendicular line, and keep all the other values the same:

y = - 2x + 1 (-2x is the slope)

1/2x = the negative reciprocal of the original slope (-2x)

y = 1/2x + 1 (new final equation for a perpendicular straight line)