Write the equation of the line, in 1. point-slope form and 2. slope-intercept form, that contains the points (-2, 2) and (2, -2).

Pont slope is
y-y1=m(x-x1)
the slope is m and a pont is (x1,y1)

first find slope
slope between (x1,y1) and (x2,y2) is (y2-y1)/(x2-x1)
given
(-2,2) and (2,-2)
slope=(-2-2)/(2-(-2))=(-4)/(2+2)=-4/4=-1

a point is either (-2,2) or (2,-2)

1. point slope

y-2=-1(x+2) or
y+2=-1(x-2)

2.
slope intercept
solve for y in any equation
y-2=-1(x+2)
expand
y-2=-x-2
add 2
y=-1x