Question

[100 POINTS]

Question 1)
The graph for the equation y = 2x - 2 is shown below.
If another equation is graphed so that the system has one solution, which equation could that be?
A) y = 2(x+1)
B) y = 2(x-1)
C) y = 2(x-2)
D) y = -2(x+1)

Question 2)
Solve the inequality and then graph its solution.
1/5(x-2) > -1

a) x > -7
b) x < -3
c) x > -3
d) x > 3

Answer 1

The first question is D, because when graphed, intercepts with the slope of 3, the only with the solution.

The second question is C, because u can multiple the LHS and RHS to get x-2 is greater than -5. Add 5 to get x is greater than -3

Answer 2

Question 1)

D

The answer is D because every other option has the same slope (2), and even if the intercepts are different, the lines would only be parallel, whereas in D, the slope is -2, which has one solution.

Question 2)

C

You would multiply everything by 5 to get rid of the fraction. Then, you can simplify and get the answer.