Me determine the equation of the line in slope intercept form and show all work. a line that is perpendicular to the line
y = x - 199 that passes through the
points (-6,7)

y= x + 13

Step-by-step explanation:

Since the line is perpendicular, it means that our line would have the reciprocal of the slope given. In this case, slope of 1.(and 1/1 doesn't make any difference)

Hence, let's lay out the equation of a line:

y=mx+b where m is the slope, b is the y-intercept and x and y coordinates.

Let's plug everything we have in the equation and find b.

7= 1(-6) + b

7= -6 + b

7+6 = b (adding 6 both sides)

13= b

Hence, the equation is y= x + 13

Hope this helps!

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.