Answer:

Step-by-step explanation:
let D be the line that passes through the points (6, -1) and (-6, 2)
Then D has an equation of the form D: y = ax + b
Now we need to find a and b in order to be able to write the equation of the line D:

Since the point (6 , -1) lies on the line D then :
-1 = (-1/4) × (6) + b
then
-1 = (-6/4) + b
then
b = -1 - (-6/4) = -1 + 6/4 = -4/6 + 6/4 = (-4+6)/4 = 2/4 = 1/2
then
b = 1/2
Conclusion:
Since a = -1/4 and b = 1/2 then

We have the expression

We have to convert the expression in a single-term expression. We apply the distributive property:

b) We have to substitute five different values into the expressions 5x+2x and 7x-1.
The first expression is equal to 5x+2x=7x.
We then can predict that the difference between 7x and 7x-1 is 1.
For example, for x=2, we have 7x=7*2=14 and 7x-1=7*2-1=14-1=13.
We can calculate if the two expressions can be equal, we write:

There is no value that can make both expressions equal.
Both equations have a difference of 1 for any value of x.
Answer:
3 units right
Step-by-step explanation:
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then shift left of a units
• If a < 0 then shift right of a units
Thus f(x) → f(x - 3) represents a shift of 3 units to the right
The 3 in the hundreds place (value of 300) has a value that is 10x the 3 in the tens (value of 30).