Answer:
y=-4x-18
Step-by-step explanation:
To find the slope of the function, you need two points in order, the first point having its x and y coordinates labeled as x1 and y1, and the second point having its coordinates labeled as x2 and y2. then, use the equation for slope, which is m=(y2-y1)/(x2-x1), and plug in the numbers. You should get m=(-10+2)/(-2+4)= -8/2= -4.
Then, use the slope and a point on the graph, and plug it into point slope form, which is y-y1=m(x-x1). No matter what point you use, you should get the same thing. I used the point (-2, -4). Using this point, the steps to arrange the equation in slope intercept form is: y+2=-4(x+4)=> y+2=-4x-16 => y=-4x-18.
The general term of an arithmetic sequence is,
Where , 
= nth term.
= First term
and d = common difference.
The given sequence is: 57, 66, 75, 84, 93, ...
Here = 57,
d = 66 - 57 = 9
We need to find the 250th term. So, n = 250.
Next step is to plug in these values in the above formula. Therefore,
= 57 + 249 * 9
= 57 + 2241
= 2298
Therefore, 250th of this sequence is 2298
Hope this helps you!
V = pi x R^2 x height
V= pi x 6^2 x 12
V= 432 pi (m^3)
