At x = –6, y = 11
At x = 3, y = 5
At x = 15, y = –3
At x = –12, y = 15
Solution:
The function is [tex]y=-\frac{2}{3} x+7[/tex].
The domain of the function is {–12, –6, 3, 15}.
Substitute x = –6 in the function to find y.
[tex]$y=-\frac{2}{3} (-6)+7[/tex]
y = 4 + 7
y = 11
Substitute y = 5 in the function to find x.
[tex]$5=-\frac{2}{3} x+7[/tex]
Subtract 7 from both sides, we get
[tex]$-2=-\frac{2}{3} x[/tex]
Multiply by [tex]-\frac{3}{2}[/tex] on both sides, we get
x = 3
Substitute x = 15 in the function to find y.
[tex]$y=-\frac{2}{3} (15)+7[/tex]
y = –10 + 7
y = –3
Substitute y = 15 in the function to find x.
[tex]$15=-\frac{2}{3} x+7[/tex]
Subtract 7 from both sides, we get
[tex]$8=-\frac{2}{3} x[/tex]
Multiply by [tex]-\frac{3}{2}[/tex] on both sides, we get
x = –12
At x = –6, y = 11
At x = 3, y = 5
At x = 15, y = –3
At x = –12, y = 15
