Answer:
True.
Step-by-step explanation:
The explicit form for an arithmetic sequence is:

where
is the first term and
is the common difference.
The common difference here is 2 because the y's are going up by 2 while the x's are going up by 1.
Yes, the common difference is the slope.
So we have d=2.
The first term is 9.5 because that is what happens when x=1.
x is n.
y is
.
So the answer is true.
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You can also verify by plugging in numbers for n and see if you get the outputs mentioned in the pairs given:
Let n=1:




Let n=2:




Let n=3:




Let n=4:




Let n=5:




Let n=6:




We have confirmed that we get all 6 of the mentioned points using the equation they gave.
Answer:
Step-by-step explanation:
In vertex form, the equation is
y = a(x-h)^2 + k
So just read off the values!
Answer:
y = 2x + 10
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2, thus
y = 2x + c ← is the partial equation
To find c substitute (- 3, 4) into the partial equation
4 = - 6 + c ⇒ c = 4 + 6 = 10
y = 2x + 10 ← equation of line
Step two is the answer i hope that helps