Question 1151551
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The y intercept is 4, which means the point (0,4) is on the graph. I'll label this as point A.
A = (0,4)
This is where the graph crosses the y axis.


From point A, move down 3 units and to the right 5 units to arrive at point B = (5,1)
The movement "down 3, to the right 5" comes directly from the slope of -3/5
slope = rise/run
slope = -3/5
rise = -3 means we drop 3 vertical units (y axis)
run = 5 means we move to the right 5 units (x axis)
As the diagram below indicates, the red line goes downhill as you read from left to right. This downhill direction is because of the negative slope.


After we have two points, we can draw a straight line through them
<img src = "https://i.imgur.com/BnqIsSd.png">
I used <a href = "https://www.geogebra.org/?lang=en">GeoGebra</a> to create the graph.


The equation of the red line in slope intercept form (y = mx+b) is {{{y = expr(-3/5)x+4}}}
m = -3/5 is the slope
b = 4 is the y intercept
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