Find an equation of the line having the given slope and containing the given point. m=4/5,(2,-2)

Since you are asking for "an equation", the point-slope equation of a line is a suitable choice.

For slope m and point (h, k), the equation of a line can be written

... y -k = m(x -h)

For your values, this is

... y +2 = (4/5)(x -2)

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There are many other forms this equation could take. You can multiply by 5 and subtract the left side to put it into general form.

... 4x -5y -18 = 0

And you can add the opposite of the constant to put it into standard form.

... 4x -5y = 18

A favorite of many people is slope-intercept form, which you can find by solving any of these for y.

... y = (4/5)x - 18/5

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.