Find the slope of the line that passes through the points. (10,8) and (4,12) is as a simplified fraction

- 2/3

Step-by-step explanation:

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

= (12-8) / (4-10)

= 4 / (-6)

= - 2/3

slope = -

Step-by-step explanation:

Calculate the slope m using the slope formula

m =

with (x₁, y₁ ) = (10, 8) and (x₂, y₂ ) = (4, 12)

m = = = -

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.