what is the y-intercept of the line perpendicular to the line y = -x + 1 that includes the point (4, 1)?

-3

Step-by-step explanation:

If a line is perpendicular to another the product of their slope should equal -1. The slope of the first equation is -1 and -1*1=-1 so the slope of the second equation is 1. That means that the equation looks like y=x+b. We know that when x is 4 y is 1. So plugging in those values you get 1=4+b, subtracting 4 you get -3=b. So the y-intercept is -3