Step 1: Find the slope:
This gives you 
, but we need to find b.
To find b, substitute in one (x,y) pair and it doesn't matter which one. I'll go with (4,-2):
![\begin{aligned}-2&=-\dfrac{3}{2}(4)+b\\[0.5em]-2&=-6+b\\[0.5em]4&=b\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D-2%26%3D-%5Cdfrac%7B3%7D%7B2%7D%284%29%2Bb%5C%5C%5B0.5em%5D-2%26%3D-6%2Bb%5C%5C%5B0.5em%5D4%26%3Db%5Cend%7Baligned%7D)
Now take that b-value and plug in into the slope-intercept form:
It's always a good idea to toss in the other x-value from the other point, to make sure it checks out.
With the formula: m=(y1-y2)/(x1-x2) you can sub in the values to get the slope (m).
m=(4-2)/(2-(-3))
= 2/5
Therefore the slope is 2/5.
For the answer to the question above, If you've noticed, the statement mentioned "a number". Let's assign x to be the number. The first statement is twice a number (2x). Then, decreased by the quotient of that number and 2 (-x/2). Lastly, the statement at least 12 is written as >12.
So the answer is
2x - (x/2) >12
11,15,19,23
an = 11 + 4(n-1)
an = 11 + 4n - 4
an = 4n + 7
Answer:
F(x-h) = x² + 2xh +h² +2
Step-by-step explanation:
F(x) = x² + 2, x∈R
F(x + h) = (x + h )² + 2 = x² + 2xh + h² + 2
