Answer:
y=-1/3x-2
Step-by-step explanation:
First off, lets outline that parallel lines have the <u>Same Slope</u>. So we can plug in -1/3 as our slope, or m.
Lets plug in -1/3 as our slope in Point Slope form to find the y intercept. Point slope form should be attached in an image below.
1) Plug slope and points into point slope form:
y+1=-1/3(x+3)
2) Distribute -1/3 to x and 3:
y+1=-1/3x-1
3) Subtract 1 from both sides:
y=-1/3x-2
Now we have our answer is slope intercept form!
Please let me know if you have any questions :)
3/8
8=2*4 so then times the top by 2 and it = 2 and add 1 = 3/8
1/8+1/4= 3/8
Answer:
Part a) The speed is 
Part b) After 4 seconds the trains is 24 ft along the track
Part c) 
Step-by-step explanation:
we have

This is the equation of a line in slope intercept form
where
s(t) is the position of a model train in feet
t is the time in seconds
Part a) How fast is the train moving?
The speed of the train is equal to the slope of the linear equation so
The slope m is equal to

therefore
The speed is 
Part b) Where is the train after 4 seconds?
For t=4 sec
substitute the value of t in the equation and solve for s

therefore
After 4 seconds the trains is 24 ft along the track
Part c) When will the train be 29 feet along the track?
For s(t)=29 ft
Substitute the value of s(t) in the equation and solve for t

subtract 14 both sides


Divide by 2.5 both sides

rewrite

Answer:
8 complete stacks
Step-by-step explanation:
Total magazine = 60
Total books = 42
Each stack will have 7 magazines and 4 books.
Each stack = 7 magazines + 4 books
How many complete stacks of 7 magazines and 4 books can Ms. Martin make?
Number of stack of 7 magazines possible = total magazines / magazines per stack
= 60/7
= 8 4/7
Complete stacks with 7 magazines = 8
Number of stack of 4 books possible = total books / books per stack
= 42/4
= 10 1/2
Complete stacks with 4 books = 10
If 7 magazines on each stacks can make 8 complete stacks
Then, 4 books on each stack can make 8 complete stacks
Note: after 8 stacks using 7 magazines each, magazines will not be available to complete other stacks