Question 75240
Find the slope of each pair:
Slope=m={{{(y1-y2)/(x1-x2))}}}

Plug-in the values:
Slope=m={{{((3-(-2))/(-1-4))}}}={{{(5/-5)}}}=-1

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Use the slope-intercept formula: y=mx+b and solve for the "b" value
3=(-1)(-1)+b
3=1+b
2=b
Plug-in the values for the slope and the y-intercept (b)
y=-1x+2 [the slope-intercept equation of a line]
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Check by plugging one set of points back into the equation:
y=-x+2
-2=(-1)(4)+2
-2=-4+2
-2=-2 [checks out]