SOLUTION: Is the relationship below linear? Tell how you decided. Write an equation for the linear relationship. x 5 10 15 20 25 30 y 20 30 40 50 50 50 I am completely lost.

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Is the relationship below linear? Tell how you decided. Write an equation for the linear relationship. x 5 10 15 20 25 30 y 20 30 40 50 50 50 I am completely lost.       Log On


   



Question 387261: Is the relationship below linear? Tell how you decided. Write an equation for the linear relationship.
x 5 10 15 20 25 30
y 20 30 40 50 50 50
I am completely lost. I tried understanding what my chapter was saying but it is only confusing me more.
Am I even on the right track?
x/y 5/20 10/30 15/40 20/50 25/50 30/50
x/y .25 .333 .375 .4 .5 .6

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
If we use the first pair of data to get the slope of the line passing through them, then we would get m+=+%2830-20%29%2F%2810-5%29+=+10%2F5+=+2. If we use the first pair of x,y data, the point-slope form of the line would be y - 20= = 2(x-5), or y = 2x + 10, after simplifying. Our linear equation would describe the first 4 pairs of data, but not the 5th and the 6th pairs. Therefore the relationship is NOT linear.