Answer:
Y = (1/3)X + 4
Step-by-step explanation:
You need to know the equation Y = mX + b, for two sets of coordinates
Therefore we need to find the slope and the interception of the given points.
1) The slope of the line
We can use the point slope form, and clear for the slope m
y - y1 = m (x-x1)
m = (y -y1) / (x -x1)
The data given is: A (3, 5) and B (0, 4)
Then substitute in the slope: m = (5 -4)) / (3 -0) = (1/3)
m = 1/3
2) Find the interception
From the general equation slope intercept Y = mX + b, clear b
b = Y - mX
Now substitute any given point to obtain b the interception
b = Y - mX
Lets choose point A (3, 5), remember m = 1/3
b =5 - (1/3)(3)= 4
b = 4
3) Therefore with the values of m and b, the general equation for the slope intercept form is:
Y = mX + b -->
Y = (1/3)X + 4
Answers:
Equation is 
Center is (-1, -2)
Radius = 5
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Work Shown:

center = (h,k) = (-1,-2)
radius = 5
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Explanation:
I grouped up the x and y terms separately. Then I added 1 to both sides to complete the square for the x terms. I cut the 2 from 2x in half, then squared it to get 1. In the next step, I cut the 4 from 4y in half to get 2, which squares to 4. So that's why I added 4 to both sides to complete the square for the y terms.
Each piece is factored using the perfect squares factoring rule which is a^2+2ab+b^2 = (a+b)^2
The last equation is in the form (x-h)^2 + (y-k)^2 = r^2
We can think of x+1 as x - (-1) to show that h = -1
Similarly, y+2 = y-(-2) = y-k to show that k = -2
The center is (h,k) = (-1,-2)
The radius is r = 5 because r^2 = 5^2 = 25 is on the right hand side in the last equation above.
Answer:
9b+1
Step-by-step explanation:
combine like terms
7b-1b+3b=9b
1/2 + 1/3 = 1/6 or <span>0.166667</span>