What is an equation of the line that passes through the point (-3,-7)(−3,−7) and is parallel to the line 3x-y=53x−y=5?

y  = -3x-14

Step-by-step explanation:

Any line parallel to  

y

=

−

3

x

+

6

will be in the form  

y

=

−

3

x

+

c

for some constant  

c

If  

(

x

,

y

)

=

(

−

3

,

−

5

)

is a solution to such an equation, then replacing  

y

with  

(

−

5

)

and  

x

with  

(

−

3

)

gives

−

5

=

(

−

3

)

⋅

(

−

3

)

+

c

→

−

5

=

9

+

c

→

c

=

−

14

So the desired parallel line would have the equation

y

=

−

3

x

−

14

b.) 160 miles on a 5 gallons car

step-by-step explanation:

240/10=24 miles/gallon

160/5=32 miles/gallon

30/1=30 miles/gallon

168/6= 28 miles/gallon

32 miles/gallon is the most amount, so this is the best.

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional