SOLUTION: What equation represents this table? How do I translate the table into an equation? b d 8 28 9 34 10 40 11 46

Algebra ->  Equations -> SOLUTION: What equation represents this table? How do I translate the table into an equation? b d 8 28 9 34 10 40 11 46       Log On


   

Question 958884: What equation represents this table? How do I translate the table into an equation?
b d
8 28
9 34
10 40
11 46
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
given:
b|%09d
8|%0928
9|%0934
10|%0940
11|%0946
find: y=mx%2Bb ....where m is a slope and b y-intercept
in your case x=b and y=d, so you have to find
d=mb%2Bc...I will take c for y-intercept
use any two of given points
d=mb%2Bc if 8|%0928, we have
28=m%2A8%2Bc
28=8m%2Bc.....eq.1

d=mb%2Bc if 10|%0940, we have
40=m%2A10%2Bc
40=10m%2Bc.....eq.2

subtract eq.1 from eq.2
40-28=10m-8m%2Bc-c
12=2m
highlight%28m=6%29
now find c
28=8m%2Bc.....eq.1
28=8%2A6%2Bc
28=48%2Bc
28-48=c
highlight%2820=c%29
so, your equation is: highlight%28d=6b-20%29