1.What is the correct equation for direct variation that includes the point (6, –3)?
a direct variation is given by the expression

since the variation includes the points (6 , -3) let's assume
x=6
y=-3
then



the the expression for direct variation that includes the point (6, –3) is

2.The product of two positive integers is 72. The first is 6 less than the second.
Find the integers.
from the expression
product of two positive integers is 72

and from the expression
The first is 6 less than the second.

then let's solve a and b
since b= a-6
then



then


and

then the posible answers are
a=12, b=6
a=-6, b=-12
since The product of two positive integers the only possible answer is
a=12, b=6
3.The price of turkey depends on its weight. Suppose turkeys sell for $0.59 per
pound. What is the price of a 10 pound turkey?
0.59 = 1 pound
x= 10 pounds
then


then 10 pounds cost $5.9
4)4)Find the slope of the line that passes through the points (4, 3), (3, 8).
the slope is given by




then the slope of the line that passes through the points (4, 3), (3, 8). is
m=5