Answer: y= -x
Explanation:
slope-intercept form is y=mx+b
however, to plug in the coordinates, you need to know:
A. the slope of the points given
B. point-slope form which is y-y1= m(x-x1)
Step 1. find the slope
slope (m)= rise/run or y/x
in your table, when y=2, x=-2, so 2/-2= -1
m= -1
Step 2. plug coordinates into point-slope formula
y-y1=m(x-x1)
y-(2)=(-1)(x-(-2))
Step 3. solve
y-(2)=(-1)(x-(-2)) change the sign from -2 to +2 by distributing the -
y-2=(-1)(x+2) distribute the -1
y-2= -x -2 isolate the y by adding +2 to both sides of the equation
y= -x