Write the equation in slope-intercept form of the line that is parallel to the
graph of each equation and passes through the given point.
1. y = 3x + 6; (4, 7)

y = 3x - 5

Step-by-step explanation:

The given line, y = 3x + 6, has a slope of 3.  So does the new (desired) line:  

y = 3x + C.  We need to determine the y-intercept, C, for the line with slope 3 and passing through (4, 7):

7 = 3(4) + C, or 7 = 12 + C.  Then C = -5, and the desired equation is

y = 3x - 5

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.