Question

Find the equation of the linear function represented by the table below in slope-intercept form.

x y
-1 0
1 -6
3 -12
5 -18

Answer 1

y = -3x - 3

Explanation:

Slope m = (y2-y1)/(x2-x1)

Using both (-1,0) and (1,-6)

then m = (-6 - 0)/(1 - -1) = (-6)/(1 + 2) = -3

then y = mx + b => y = -3x + b

Using (-1,0)

then 0 = -3(-1) + b => 0 = 3 + b => b = -3

so y = -3x - 3