Question

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

Answer 1

`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`