Answer: y = (-1/4)x + 3
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Step-by-step explanation:
y = mx+b is the general form of slope intercept equations
m is the slope, b is the y intercept
The y intercept is where the graph crosses the y axis. In this case it is at (0,3) so b = 3 is the y intercept
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The slope can be found through using the slope formula
m = (y2-y1)/(x2-x1)
m = (2-3)/(4-0)
m = -1/4
Or you could note that to go from (0,3) to (4,2) we must go down 1 and over to the right 4.
slope = -1/4 = rise/run
rise = -1 means we go down 1
run = 4 means we move to the right 4
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Since m = -1/4 and b = 3, we go from y = mx+b to y = (-1/4)x+3