Step-by-step explanation:




Answer:
1
Step-by-step explanation:
By gradient, if you mean the "slope" of the linear function, then you have to find two points of the graph and use the "rise over run strategy". Given two coordinates, (x1, y1) and (x2, y2) of a linear function in the form y=mx+b, the slope of the line is (y2-y1)/(x2-x1). This shows the amount of "rise", or the vertical change, and the amount of "run", which is the horizontal change. Rise/Run gives the steepness of the line. The slope can also be modeled by Δy/Δx, which is the change in y over the change in x
Plugging in the given points (0,5) and (-5,0):
(y2-y1)/(x2-x1)= (5-0)/(0-(-5)) = 5/5 = 1
Answer:
or 
Step-by-step explanation:
We know that the slope of the line is 1, so we can write it in terms of any two points belonging to the line, as per the difinition of slope:

We can use instead of
any general point (x,y) on the line, and for
the point we are interested in: (11,4)
That way the slope can be written as:

Next we can solve for y if this format is the one your instructor prefers:

Answer:
Each mixture has the same amount of salt for every 1 cup of water.
Step-by-step explanation:
It is provided that:
- Nia mixed 1 teaspoon salt with 3 cups warm water.
- Trey mixes 1 /2 teaspoon salt with one and 1/2 cups warm water.
The ratio of the number of teaspoons of salt to the number of cups of water is 1 : 3 in Nia's solution.
On dividing the amount of salt and the amount of water by 3, the ratio will be the same.

Thus 1 : 3 is equivalent to the ratio
, which means that Nia's solution has
teaspoon of salt for every cup of water.
The ratio of the number of teaspoons of salt to the number of cups of water is
in Trey’s solution.
On dividing the amount of salt and the amount of water by
, the ratio will be the same.

So Trey’s ratio is also equal to the ratio
.
Since each mixture has the same amount of salt for every 1 cup of water, they are equally salty and taste the same.
Answer:
44 blue and 52 green
Step-by-step explanation: