Find an equation in slope intercept form for the line through point p(-3, 2) and perpendicular to the line
containing the two points (2, 3) and (1, -2).

see explanation

Step-by-step explanation:

We require to find the slope m of the line joining the 2 given points

To find m use the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (2,3) and (x₂, y₂ ) = (1, - 2)

m = = = 5

Given a line with slope m then the slope of a line perpendicular to it is

= - = -

The equation of a line in slope- intercept form is

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

y = - x + c ← is the partial equation of the perpendicular line

To find c substitute (- 3, 2) into the partial equation

2 = + c ⇒ c =

y = - x + ← perpendicular equation

256π units²   (answer b)

step-by-step explanation:

the formula for the surface area of a sphere of radius r

is             a = 4πr²

and so, if r = 8 units, then the surface area is:

a = 4π(8 units)² = 256π units²   (answer b)

true

step-by-step explanation: