Algebra

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Determine if the relationship represented in the table is linear. If it is linear, write an equation.

how do you determine if a table is linear here is the table I am looking at....

x 2 5 7 10 12 20

y -3 0 2 5 7 15

please guide me in the right direction...

  • Algebra -

    pick a delta x. Say from 2to 5,or a deltax of 3
    Notice the corresponding delta y is -3 to 0, a deltay of 3

    slope= deltaty/deltax= 3/3=1

    Now try it for other pairs.

  • Algebra -

    7 to 10 would then be 3 and 2 to 5 is also 3 and then the last would be 12 to 20 would be 8 and 7 to 15 would be 8 so this would be a linear but then how do you write an equation?

  • Algebra -

    y= mx+b

    you know m as 1.

    y= x+b
    now put in any x,y pair, and solve for b.

  • Algebra -

    y=1(3/8)+3?? is that right?

  • Algebra -

    No. y=x+b
    2=7+b
    7-2=b I think you can get it from here :)

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