Answer:y = -2x + 5
Step-by-step explanation: Slope intercept form is given by the equation y = mx+b where m is the slope and b is the y intercept
1. The slope or m would be -2 because the slope of the live given is -2. We can tell since we can do rise/run or Δy/Δx. We can take two points on the line and use Δy/Δx
Lets use:
(0,4) and (2,0)
Then plug it in so:
m = -2
Now we just need b which is fortunatly given to us since b is when x is equal to 0 and it saids in the question "passes through the point (0,5)" so since its (x,y) and x is 0, b is 5.
Finally, after substitution, we get:
y = -2x + 5