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Hello!
First of all we find the slope by dividing the difference of the y values by the difference of the x values as seen below.
The slope of our line is 7/2, or 3.5
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Now we will put the slope and a point on our line into slope intercept form and solve for b. We will use (-3,11).
11=3.5(-3)+b
11=10.5+b
b=0.5
Our final equation is shown below.
y=3.5x+0.5
I hope this helps!
First of all we find the slope by dividing the difference of the y values by the difference of the x values as seen below.
The slope of our line is 7/2, or 3.5
-------------------------------------------------------------
Now we will put the slope and a point on our line into slope intercept form and solve for b. We will use (-3,11).
11=3.5(-3)+b
11=10.5+b
b=0.5
Our final equation is shown below.
y=3.5x+0.5
I hope this helps!
Answer:
Step-by-step explanation:
<u>Arithmetic Sequences </u>
The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.
The equation to calculate the nth term of an arithmetic sequence is:
Where
an = nth term
a1 = first term
r = common difference
n = number of the term
The sum of the n terms of an arithmetic sequence is given by:
We are given the first two terms of the sequence:
a1=5, a2=8. The common difference is:
r = 8 - 5 = 3
Thus the general term of the sequence is:
The formula for the sum is:
Operating: