Write the equation of a line that is parallel to y= -5/4x+7 and that passes through the point (-4,1).

  y = -5/4x -4

Step-by-step explanation:

Since the lines are parallel, you know the slopes are the same and the intercepts are probably different. You can find the required y-intercept (b) by putting the given point into the equation of the slope-intercept form of the line:

  y = -5/4x + b . . . . . . the slope, -5/4, is already filled in because we know it

  1 = -5/4·(-4) + b

  1 -5 = b = -4

Your equation is ...

   y = -5/4x -4

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.