Question 1204058
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Start at any point on the blue line.
It's best to start with a point that has x and y coordinates that are both integers.


I'll start at (-5,2)


The goal is to move from there to another integer point on this same blue line.
Let's say we go from (-5,2) to (0,4)
We could use the slope formula to compute the slope, as the other tutors have done.


Or we could follow the motion of "up 2, right 5"
rise = 2
run = 5
m = slope = rise/run = 2/5


In short, m = 2/5 is the slope.
This fraction cannot be reduced further.


The y intercept is b = 4 since this is where the blue line touches the vertical y axis.


Plug those values into y = mx+b to get the <font color=red>final answer  y = (2/5)x+4</font>
This would be the same as writing {{{y = expr(2/5)x+4}}} or {{{y = (2/5)x+4}}}


Side note: 2/5 = 0.4
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