Question

Write a rule for the linear function in the table.

x f(x)
1 –7
2 –10
3 –13
4 –16

A. f(x) = -1/3x – 4

B. f(x) = 3x + 4

C. f(x) = –3x – 4

D. f(x) = x – 7

Answer 1

since it is linear, you can use two points to find the equation of the line in y=mx+b format. m, the slope = (y2-y1)/(x2-x1) = (-16--7)/(4-1)=-9/3=-3. b is the y intercept. you can find b by placing one of the x,y points into the equation and solve for b
y=-3x+b, b=y+3x = -7+3*1=-4, so y=-3x-4

Answer 2

so is c

Answer 3

yeap, baby