<h3>
Answer: -6/5</h3>
Explanation:
The blue diagonal line goes through the two points (0,2) and (5,-4). These are shown as the dark blue enlarged points. You can pick any other points you want that are on the diagonal line, though these are the easiest as they stand out the most.
Use the slope formula to find the slope through these points
m = (y2-y1)/(x2-x1)
m = (-4-2)/(5-0)
m = (-6)/(5)
m = -6/5
The negative slope means the line goes downhill as you move from left to right along the diagonal line.
Answer: For every 1 bushel, there will be 2 quarts
Step-by-step explanation:
If 4:8, then you would have to divide. To find how much bushels there are in a quart, you would need to divide each number by 4. 4/4 = 1. 8/4 = 2. So, the relationship between b:q would be 1:2
Answer:
This is an indirectly proportional relation, because the food will last less if the number of animals increases.
What we can do is a rule of three, as we know that the food lasts 30 days for 100 animals, and we want to know how many days does it last for 120:
30 days -- 100 cows
x days -- 120 cows
As it's an inderect rule of three, x = 
= 25.
The food will last 25 days for them.
Answer:
=35
Step-by-step explanation:
We know that if two lines are Parallel then both the lines have same Slope.
Given : Equation of 1st Parallel line is -x + 3y = 6
this can be written as :
3y = x + 6
y = x/3 + 2
Comparing with standard form : y = mx + c
we can notice that slope = 1/3
We know that the form of line passing through point (x₀ , y₀) and having slope m is :
y - y₀ = m(x - x₀)
Here the 2nd Parallel line passes through the point (3 , 5)
x₀ = 3 and y₀ = 5 and we found m = 1/3
⇒ y - 5 = 1/3(x - 3)
⇒ 3y - 15 = x - 3
⇒ -x + 3y = 12
