Please help me solving these Questions in proper manner (step by step)?

Question

1. Write, in general form, the equation of the straight line that passes through the points (-6,-1) and B (2,2).

2. The equation of a circle is x2+y2-4x+10y = -20, what are the co-ordinates of the center and the length of the radius of the circle?

3. Find the derivatives with respect to x, of

Y= 7x2 + 3x + 2

Y = √x+2

Y = 3x+2 / x+1

4. Integrate the following:

∫ (x5 – 2)dx

5. Find dy/dx for the following:22

y= Ln (3x+2)

6. Find the areas under the curve y=x2 +x from the origin to the line x=3.

Answer 1

1...y+1=[x+6]*3/8                as the line eqn is (y-y1)=[x-x1]*[y2-y1]/[x2-x1]

2...[x-2]^2+[y+5]^2=9

(2,-5)  and 3

3...  dy/dx=  14x+3

       dy/dx=1/2sqrt(x)

dy/dx={3[x+1]-[3x+2]}/[x+1]^2

4=if it is x power 5

   x^6/6-2x+c

5....   22dy/dx=3/[3x+2]

6... 27/2