Answer is y = -x+4 (choice D)
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Work Shown:
Find the slope of the line through
(x1,y1) = (0,4) and (x2,y2) = (3,1)
Use the slope formula
m = (y2 - y1)/(x2 - x1)
m = (1 - 4)/(3 - 0)
m = (-3)/(3)
m = -1
The y intercept is 4, so b = 4. This is where the graph crosses the vertical y axis. The y intercept is always where x = 0.
With m = -1 and b = 4, we go from y = mx+b to y = -1x+4 which is y = -x+4
