Given 2 points (3, 6) and (2, 4) explain or show how to calculate the slope.

can you show me step by step and is this correct the slope = 2

hello :

Step-by-step explanation:

Hello : let  A(3,6)    B(2,4)

the slope is :   (YB - YA)/(XB -XA)

(4-6)/(2-3)  = (-2)/(-1)

the slope is  : 2

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

b

step-by-step explanation: