What would the slope intercept equation of the line shown below

y = -2x - 4.

Step-by-step explanation:

The points marked are (-2,0) and (0,-4).

The slope of line =  (-4-0) / (0- -2)

= -4/2 = -2.

The y-intercept is at y = -4,

so the equation required is y = -2x - 4.

y = - 2x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m =

with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, - 4) ← 2 points on the line

m = = = - 2

The line crosses the y- axis at (0, - 4) ⇒ c = - 4

y = - 2x - 4 ← equation of line

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!