What is the equation of the line shown in this graph

y = -2x+4

Step-by-step explanation:

points (1,2) (4,-4)

slope = (y2-y1)/(x2-x1)

     = (-4-2)/(4-1)

     = -6/3

  = -2

point slope form

y-y1= m(x-x1)

y-2 = -2(x-1)

to change to slope intercept form

distribute

y-2 = -2x+2

add 2 to each side

y = -2x+4

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