Math

What is the equation of the line that passes through all the points in the table?

x -4 -2 0 2
y 0 -4 -8 -12

A. y= -2x-8
B. y= -2x-4
C. y= -4x-8
D. y= -4x-4
PLEASE EXPLAIN PLZZ

asked by Kimbo
  1. Take two points from the given. For instance the first two points (-4,0) and (-2,-4).

    Get the slope using the formula,
    m = (y2 - y1) / (x2 - x1)
    where
    (x1,y1) and (x2,y2) are points on the line.
    Substituting,
    m = (0 - (-4)) / (-4 - (-2))
    m = (0 + 4) / (-4 + 2)
    m = 4 / -2
    m = -2
    Finally substitute the slope and a point in slope-intercept form of equation:
    y - y1 = m(x - x1)
    y - 0 = -2(x - (-4))
    y = -2(x + 4)
    y = -2x - 8

    hope this helps~ `u`

    posted by Jai
  2. THANK YOU SM JAI

    posted by Kimbo

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