A line includes the points (0, 5) and (6, 9). What is its equation in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.

Step-by-step explanation:

Formula

y = mx + b

m is the slope

b is the y intercept.

m = (y2 - y1) / (x2 - x1)

Givens

(0,5)

(6,9)            Break these two points down into x and y one and two

y2 = 9

y1 = 5

x2 = 6

x1 = 0

Solution

Find m

m = (9  -  5) / (6 - 0 )

m = 4 / 6

m = 2/3

Use one of the points to get the y intercept.

y = m x + b  where b is the y intercept.

y = (2/3) x + b     Use 0,5

x = 0

y = 5

5 = 0*2/3 + b

b = 5

Answer

y = 2/3(x) + 5

then, the surface area of the sphere shown in the image is: 256π sq. units!

step-by-step explanation:

the lateral surface area of a sphere is 2πrh where h=2r.

then:

surface area = 4πr^2.

in this case, r=8 units ⇒ surface area = 4π(8 units)^2. = 256π sq. units!

then, the surface area of the sphere shown in the image is: 256π sq. units!