Find the equation of the line that is perpendicular to y = -2x+ 6 and passes though the point (-4,2).

y= 1/2x + 6

Step-by-step explanation:

when making a perpendicular equation, flip the slope.

y = 1/2x + 4

Step-by-step explanation:

The slope of the perpendicular line will have the complete opposite slope.

The perpendicular slope is 1/2x.

To get the slope I just got the opposite sign and reciprocal of -2.

NOW plug in (-4,2) to find the y-intercept

2 = 1/2(-4) + b (b represents y-intercept)

2 = -2 + b (add 2 on both sides)

4 = b

y = 1/2x + 4 is the final equation

HOPE THIS HELPS!!

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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.