Answer
Table
X | Y
4 | -1
3 | 0
2 | 1
1 | 2
0 | 3
-1 | 4
-2 | 5
-3 | 6
-4 | 7
Function rule: y=-1x+3
Work Step by Step
The table is formed from the points given and the graph is also formed from that.
The function rule can be found by finding the slope and y-intercept
Slope: $\frac{(y_{2}-y_{1})}{(x_{2}-x_{1})}$
$\frac{(6-7)}{(-3-(-4))}$
$\frac{(-1)}{(-3+4)}$
$\frac{-1}{1}$
Slope=-1
Y-intercept is found it the ordered pair (0,3) so we find the equation y=-1x+3