Question 558149
X Y
-3 7
-2 4
-1
0
1
2 -8
3
Use the first two pairs to create the equation: y = mx + b: 
Assign as follows:
x1=-3, y1=7
x2=-2, y2=4
:
Find the slope m: {{{(4-7)/(-1-(-2))}}} = {{{(-3)/1}}} = -3
Use the point/slope form: y - y1 = m(x - x1)
y - 7 = -3(x - (-3))
y - 7 = -3x - 9
y = -3x - 9 + 7
y = -3x - 2: the equation we want
:
Substitute the given x values and find y, to complete the table
x=-1
y = -3(-1) - 2
y = 3 - 2
y = 1
the x/y pair -1,+1
x = 0
y = -3(0) - 2
y = -2
the pair 1,-2
:
the table now looks like this
X Y
-3 7
-2 4
-1 1
0 -2
1
2 -8
3
check our equation using x=2, then
you can do the same with x = 1 and x = 3, to finish the table