Question

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

Answer 1

Answer:

$y=-\frac{1}{2} x +2$

Step-by-step explanation:

$m=\frac{y2-y1}{x2-x1} = \frac{-2-4}{8-(-4)} =\frac{-6}{12} = -\frac{1}{2}$

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 =

$y=-\frac{1}{2} x+c$

-

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

$y2=-\frac{1}{2} x2+c \\\\..\\\\-2=(-\frac{1}{2} )(8)+c\\-2=-4+c\\\\..\\\\c=2$

SO ..

$y=-\frac{1}{2} x+2$