Write the point-slope form of the equation of the line that passes through the points (-3, 5) and (-1, 4). include your work in your final answer.

y-5=-1/2(x+3)

Step-by-step explanation:

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

m=(4-5)/(-1-(-3))

m=-1/(-1+3)

m=-1/2

y-y1=m(x-x1)

y-5=-1/2(x-(-3))

y-5=-1/2(x+3)

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.