what is the equation of the line shown in this graph

Answer:
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