Answer:
Step-by-step explanation:
What we want to know, is what linear equation with two variables can be solved by x=6 and y =5, and x = 12 and y =13.
All linear equations can be represented as y=mx+b.
We know y must be 5 when x is 6, so we can say that
5 = m*6 + b
Likewise, y is 13 when x is 12 so
13 = m*12 + b
I am going to take the second equation (13 = 12m + b) and subtract 5 from both sides.
This gives
8 = 12m+b -5
We know from the first equation that 5 = 6m+b. So we can substitute that into 8 = 12m +b -5.
8 = 12m+b - (6m+b)
8=12m+b -6m -b
8 = 6m
m = 8/6 = 4/3
Now take the first equation (5 = 6m + b) and replace m with 4/3
5 = 6*4/3 + b
5 = 8 + b
b = -3
