What is the slope of a line perpendicular to the line with equation y= -2x + 1

the slope of a line perpendicular to line is an opposite, reciprocal of the original slope so in this case it would be 1/2

y = 1/2x - 1 is the perpendicular line equation. The slope is 1/2.
When you make a line perpendicular to another, you flip and change the sing of both numbers. - 2 turns + and flips to be 1/2 (because 2, or any whole number, can be understood as 2/1). 1 turns positive and flips to 1/1, which is 1.

1/2, because the perpendicular slopes are always opposite reciprocals.

1/2

y=1/2 - 1