the slope is (2-4)/(6+2) = -1/4
So, in point-slope form, you have
y-5 = -1/4 (x-2)
Now massage that into slope-intercept form.
The equation of the line that goes through the point ( 2, 5 ) and is parallel to the line going through the points ( -2 ,4 ) and ( 6 ,2 ) can be written in slope-intercept form y = mx+b with:
m =
b =
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