Question

Type the correct answer in each box. Use numerals instead of words.

Answer 1

At x = –6, y = 11

At x = 3, y = 5

At x = 15, y = –3

At x = –12, y = 15

Solution:

The function is $y=-\frac{2}{3} x+7$.

The domain of the function is {–12, –6, 3, 15}.

Substitute x = –6 in the function to find y.

$y=-\frac{2}{3} (-6)+7$

y = 4 + 7

y = 11

Substitute y = 5 in the function to find x.

$5=-\frac{2}{3} x+7$

Subtract 7 from both sides, we get

$-2=-\frac{2}{3} x$

Multiply by $-\frac{3}{2}$ on both sides, we get

x = 3

Substitute x = 15 in the function to find y.

$y=-\frac{2}{3} (15)+7$

y = –10 + 7

y = –3

Substitute y = 15 in the function to find x.

$15=-\frac{2}{3} x+7$

Subtract 7 from both sides, we get

$8=-\frac{2}{3} x$

Multiply by $-\frac{3}{2}$ 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