Question

what is the equation of the line in slope-intercept form that passes through the point (1,3) and is perpendicular to the line y=-x+2?

Answer 1

perpendicular lines have opposite of reciprocal slopes
in other words if u multiply the slopes u should get negative 1
say m is the slope of the line u want
m(-1)=-1
so
m=1
y=x+b
now solve with the point u have
3=1+b
2=b
y=x+2