Step 1
<u>Find the slope of the given line</u>
we have

Isolate the variable y
Subtract
both sides


Divide by
both sides

the slope of the given line is

Step 2
Find the equation of the line that passes through the point
and is parallel to the given line
we know that
if two lines are parallel, then their slopes are equal
The equation of the line into point-slope form is equal to

we have

substitute in the equation


or 
therefore
<u>the answer is</u>
or

Answer:
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For this case we have that by definition, the equation of the line in the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut-off point with the y axis
By definition, if two lines are parallel then their slopes are equal.
We have the following line:

Thus, the slope is:
Then 
So, the line is of the form:

We substitute the point
and find b:

Thus, the equation is:

Answer:

Answer:
A.
<u>The first 5 terms:</u>
- a₁ = (2*1 + 3) / 4 = 5/4
- a₂ = (2*2 + 3) / 4 = 7/4
- a₃ = (2*3 + 3)/ 4 = 9/4
- a₄ = (2*4 + 3) / 4 = 11/4
- a₅ = (2*5 + 3) / 4 = 13/4
B.
<u>The first 5 terms:</u>
- a₁ = (1 - 3) / (1 - 2) = 2
- a₂ = (2 - 3) / (2 - 2) = undefined
- a₃ = (3 - 3)/ (3 - 2) = 0
- a₄ = (4 - 3) / (4 - 2) = 1 / 2
- a₅ = (5 - 3) / (5 - 2) = 2 / 3