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Which equation represents the line that passes through the points (-4,4) and (8,-2)?

User Paul Andrew
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1 Answer

20 votes
20 votes

Answer:


y=-(1)/(2) x +2

Explanation:


m=(y2-y1)/(x2-x1) = (-2-4)/(8-(-4)) =(-6)/(12) = -(1)/(2)

So for a movement along the x-axis left to right by 2 the y-axis drops by 1

This the equation at this point is =


y=-(1)/(2) x+c

-

Pick any of the two points (x,y) . let's choose ( 8 , -2 )


y2=-(1)/(2) x2+c \\\\..\\\\-2=(-(1)/(2) )(8)+c\\-2=-4+c\\\\..\\\\c=2

SO ..


y=-(1)/(2) x+2

User AppleDash
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