Answer:
slope: -3/4 y-intercept: 3 equation: y=(-3/4)x+3
180 degree rotation negates both coordinates, and takes a point from quadrant 2 to quadrant 4.
Answer: 4
We can also rotate 180 degrees clockwise, or 540 degrees counterclockwise and end up in the same place.
Combining transformations, we can reflect in the x axis and then in the y axis, also negating both coordinates so equivalent to 180 degree rotation.
Answer:
Option B is the correct choice.
Step-by-step explanation:
The graph is attached below.
We have to find the 
intercept meaning the value of the point on
when 
So we will put the value of zero 
instead of 
in our given equation.
So here we have solved it algebraically.
Putting
Multiplying 
both sides.
Adding 
both sides.
Dividing with 
both sides.
So the x-intercept of the given equation is which can be written as 
in terms of coordinates.
Option B is the correct choice.
Answer:
D. Batch 5.
Step-by-step explanation:
The batch should have the same proportion of blue to white to yellow.
In Batch 1, there are two parts of blue, 1.5 parts of white, and 1 part of yellow.
In Batch 5, there are four parts of blue, 3 parts of white, and 2 parts of yellow.
4 / 2 = 2
3 / 2 = 1.5
2 / 2 = 1
Since the proportions are equal to those found in Batch 1, D. Batch 5 will create the same colors as the first batch.
Hope this helps!
